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Finding the Fourth Proportional to 91,769.60, 137,639.28 and 29,432

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Solution

The fourth proportional to 91,769.60, 137,639.28 and 29,432 is: 44,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,769.60 : 137,639.28 = 29,432 : x
  2. Step 2: Convert to fraction form
    91,769.60/137,639.28 = 29,432/x
  3. Step 3: Cross multiply
    91,769.60x = 137,639.28 × 29,432
  4. Step 4: Simplify right side
    91,769.60x = 4,050,999,288.96
  5. Step 5: Solve for x
    x = 4,050,999,288.96/91,769.60
  6. Step 6: Final answer
    x = 44,143.15

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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.