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Finding the Fourth Proportional to 123,906.48, 185,785.92 and 49,037.28

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Solution

The fourth proportional to 123,906.48, 185,785.92 and 49,037.28 is: 73,526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,906.48 : 185,785.92 = 49,037.28 : x
  2. Step 2: Convert to fraction form
    123,906.48/185,785.92 = 49,037.28/x
  3. Step 3: Cross multiply
    123,906.48x = 185,785.92 × 49,037.28
  4. Step 4: Simplify right side
    123,906.48x = 9,110,436,179.10
  5. Step 5: Solve for x
    x = 9,110,436,179.10/123,906.48
  6. Step 6: Final answer
    x = 73,526.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.