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Finding the Fourth Proportional to 32,359.29, 48,538.90 and 10,174.61

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Solution

The fourth proportional to 32,359.29, 48,538.90 and 10,174.61 is: 15,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,359.29 : 48,538.90 = 10,174.61 : x
  2. Step 2: Convert to fraction form
    32,359.29/48,538.90 = 10,174.61/x
  3. Step 3: Cross multiply
    32,359.29x = 48,538.90 × 10,174.61
  4. Step 4: Simplify right side
    32,359.29x = 493,864,083.76
  5. Step 5: Solve for x
    x = 493,864,083.76/32,359.29
  6. Step 6: Final answer
    x = 15,261.89

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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.