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Finding the Fourth Proportional to 32,161.68, 48,229.56 and 23,461.20

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Solution

The fourth proportional to 32,161.68, 48,229.56 and 23,461.20 is: 35,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,161.68 : 48,229.56 = 23,461.20 : x
  2. Step 2: Convert to fraction form
    32,161.68/48,229.56 = 23,461.20/x
  3. Step 3: Cross multiply
    32,161.68x = 48,229.56 × 23,461.20
  4. Step 4: Simplify right side
    32,161.68x = 1,131,523,353.07
  5. Step 5: Solve for x
    x = 1,131,523,353.07/32,161.68
  6. Step 6: Final answer
    x = 35,182.35

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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.