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Finding the Fourth Proportional to 77,718.23, 107,251.16 and 44,184.23

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Solution

The fourth proportional to 77,718.23, 107,251.16 and 44,184.23 is: 60,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,718.23 : 107,251.16 = 44,184.23 : x
  2. Step 2: Convert to fraction form
    77,718.23/107,251.16 = 44,184.23/x
  3. Step 3: Cross multiply
    77,718.23x = 107,251.16 × 44,184.23
  4. Step 4: Simplify right side
    77,718.23x = 4,738,810,542.31
  5. Step 5: Solve for x
    x = 4,738,810,542.31/77,718.23
  6. Step 6: Final answer
    x = 60,974.24

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Double scale
Find fourth proportional to 77,719.23, 107,252.54 and 44,185.23
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.