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Finding the Fourth Proportional to 89,616.64, 123,670 and 49,329.54

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Solution

The fourth proportional to 89,616.64, 123,670 and 49,329.54 is: 68,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,616.64 : 123,670 = 49,329.54 : x
  2. Step 2: Convert to fraction form
    89,616.64/123,670 = 49,329.54/x
  3. Step 3: Cross multiply
    89,616.64x = 123,670 × 49,329.54
  4. Step 4: Simplify right side
    89,616.64x = 6,100,584,211.80
  5. Step 5: Solve for x
    x = 6,100,584,211.80/89,616.64
  6. Step 6: Final answer
    x = 68,074.24

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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.