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Finding the Fourth Proportional to 32,429.60, 48,663.15 and 13,708.42

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Solution

The fourth proportional to 32,429.60, 48,663.15 and 13,708.42 is: 20,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,429.60 : 48,663.15 = 13,708.42 : x
  2. Step 2: Convert to fraction form
    32,429.60/48,663.15 = 13,708.42/x
  3. Step 3: Cross multiply
    32,429.60x = 48,663.15 × 13,708.42
  4. Step 4: Simplify right side
    32,429.60x = 667,094,898.72
  5. Step 5: Solve for x
    x = 667,094,898.72/32,429.60
  6. Step 6: Final answer
    x = 20,570.56

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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.