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Finding the Fourth Proportional to 89,431, 123,414.78 and 51,707.68

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Solution

The fourth proportional to 89,431, 123,414.78 and 51,707.68 is: 71,356.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,431 : 123,414.78 = 51,707.68 : x
  2. Step 2: Convert to fraction form
    89,431/123,414.78 = 51,707.68/x
  3. Step 3: Cross multiply
    89,431x = 123,414.78 × 51,707.68
  4. Step 4: Simplify right side
    89,431x = 6,381,491,951.51
  5. Step 5: Solve for x
    x = 6,381,491,951.51/89,431
  6. Step 6: Final answer
    x = 71,356.60

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