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Finding the Fourth Proportional to 49,869.68, 74,742.14 and 24,916.75

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Solution

The fourth proportional to 49,869.68, 74,742.14 and 24,916.75 is: 37,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,869.68 : 74,742.14 = 24,916.75 : x
  2. Step 2: Convert to fraction form
    49,869.68/74,742.14 = 24,916.75/x
  3. Step 3: Cross multiply
    49,869.68x = 74,742.14 × 24,916.75
  4. Step 4: Simplify right side
    49,869.68x = 1,862,331,092.28
  5. Step 5: Solve for x
    x = 1,862,331,092.28/49,869.68
  6. Step 6: Final answer
    x = 37,343.96

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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.