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Finding the Fourth Proportional to 49,328.64, 68,065.74 and 28,100.16

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Solution

The fourth proportional to 49,328.64, 68,065.74 and 28,100.16 is: 38,773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,328.64 : 68,065.74 = 28,100.16 : x
  2. Step 2: Convert to fraction form
    49,328.64/68,065.74 = 28,100.16/x
  3. Step 3: Cross multiply
    49,328.64x = 68,065.74 × 28,100.16
  4. Step 4: Simplify right side
    49,328.64x = 1,912,658,184.52
  5. Step 5: Solve for x
    x = 1,912,658,184.52/49,328.64
  6. Step 6: Final answer
    x = 38,773.79

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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.