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Finding the Fourth Proportional to 32,593.20, 48,781.80 and 23,683.20

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Solution

The fourth proportional to 32,593.20, 48,781.80 and 23,683.20 is: 35,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,593.20 : 48,781.80 = 23,683.20 : x
  2. Step 2: Convert to fraction form
    32,593.20/48,781.80 = 23,683.20/x
  3. Step 3: Cross multiply
    32,593.20x = 48,781.80 × 23,683.20
  4. Step 4: Simplify right side
    32,593.20x = 1,155,309,125.76
  5. Step 5: Solve for x
    x = 1,155,309,125.76/32,593.20
  6. Step 6: Final answer
    x = 35,446.32

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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.