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Finding the Fourth Proportional to 123,928.38, 185,892.57 and 30,434.13

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Solution

The fourth proportional to 123,928.38, 185,892.57 and 30,434.13 is: 45,651.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,928.38 : 185,892.57 = 30,434.13 : x
  2. Step 2: Convert to fraction form
    123,928.38/185,892.57 = 30,434.13/x
  3. Step 3: Cross multiply
    123,928.38x = 185,892.57 × 30,434.13
  4. Step 4: Simplify right side
    123,928.38x = 5,657,478,641.41
  5. Step 5: Solve for x
    x = 5,657,478,641.41/123,928.38
  6. Step 6: Final answer
    x = 45,651.20

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