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Finding the Fourth Proportional to 32,414.68, 48,602.58 and 14,862.52

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Solution

The fourth proportional to 32,414.68, 48,602.58 and 14,862.52 is: 22,284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.68 : 48,602.58 = 14,862.52 : x
  2. Step 2: Convert to fraction form
    32,414.68/48,602.58 = 14,862.52/x
  3. Step 3: Cross multiply
    32,414.68x = 48,602.58 × 14,862.52
  4. Step 4: Simplify right side
    32,414.68x = 722,356,817.30
  5. Step 5: Solve for x
    x = 722,356,817.30/32,414.68
  6. Step 6: Final answer
    x = 22,284.87

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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.