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Finding the Fourth Proportional to 129,032.30, 193,546.74 and 62,478.38

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Solution

The fourth proportional to 129,032.30, 193,546.74 and 62,478.38 is: 93,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,032.30 : 193,546.74 = 62,478.38 : x
  2. Step 2: Convert to fraction form
    129,032.30/193,546.74 = 62,478.38/x
  3. Step 3: Cross multiply
    129,032.30x = 193,546.74 × 62,478.38
  4. Step 4: Simplify right side
    129,032.30x = 12,092,486,769.48
  5. Step 5: Solve for x
    x = 12,092,486,769.48/129,032.30
  6. Step 6: Final answer
    x = 93,716.74

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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.