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Finding the Fourth Proportional to 32,147.76, 48,229.34 and 13,417.38

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Solution

The fourth proportional to 32,147.76, 48,229.34 and 13,417.38 is: 20,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,147.76 : 48,229.34 = 13,417.38 : x
  2. Step 2: Convert to fraction form
    32,147.76/48,229.34 = 13,417.38/x
  3. Step 3: Cross multiply
    32,147.76x = 48,229.34 × 13,417.38
  4. Step 4: Simplify right side
    32,147.76x = 647,111,381.93
  5. Step 5: Solve for x
    x = 647,111,381.93/32,147.76
  6. Step 6: Final answer
    x = 20,129.28

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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.