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Finding the Fourth Proportional to 49,432.68, 74,097.45 and 24,457.14

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Solution

The fourth proportional to 49,432.68, 74,097.45 and 24,457.14 is: 36,660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,432.68 : 74,097.45 = 24,457.14 : x
  2. Step 2: Convert to fraction form
    49,432.68/74,097.45 = 24,457.14/x
  3. Step 3: Cross multiply
    49,432.68x = 74,097.45 × 24,457.14
  4. Step 4: Simplify right side
    49,432.68x = 1,812,211,708.29
  5. Step 5: Solve for x
    x = 1,812,211,708.29/49,432.68
  6. Step 6: Final answer
    x = 36,660.20

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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.