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Finding the Fourth Proportional to 32,147.31, 48,197.59 and 13,432.69

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Solution

The fourth proportional to 32,147.31, 48,197.59 and 13,432.69 is: 20,139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,147.31 : 48,197.59 = 13,432.69 : x
  2. Step 2: Convert to fraction form
    32,147.31/48,197.59 = 13,432.69/x
  3. Step 3: Cross multiply
    32,147.31x = 48,197.59 × 13,432.69
  4. Step 4: Simplify right side
    32,147.31x = 647,423,285.22
  5. Step 5: Solve for x
    x = 647,423,285.22/32,147.31
  6. Step 6: Final answer
    x = 20,139.27

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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.