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Finding the Fourth Proportional to 32,421.64, 48,614.22 and 10,230.88

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Solution

The fourth proportional to 32,421.64, 48,614.22 and 10,230.88 is: 15,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,421.64 : 48,614.22 = 10,230.88 : x
  2. Step 2: Convert to fraction form
    32,421.64/48,614.22 = 10,230.88/x
  3. Step 3: Cross multiply
    32,421.64x = 48,614.22 × 10,230.88
  4. Step 4: Simplify right side
    32,421.64x = 497,366,251.11
  5. Step 5: Solve for x
    x = 497,366,251.11/32,421.64
  6. Step 6: Final answer
    x = 15,340.56

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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.