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Finding the Fourth Proportional to 32,497.56, 48,753.62 and 10,311.66

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Solution

The fourth proportional to 32,497.56, 48,753.62 and 10,311.66 is: 15,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,497.56 : 48,753.62 = 10,311.66 : x
  2. Step 2: Convert to fraction form
    32,497.56/48,753.62 = 10,311.66/x
  3. Step 3: Cross multiply
    32,497.56x = 48,753.62 × 10,311.66
  4. Step 4: Simplify right side
    32,497.56x = 502,730,701.65
  5. Step 5: Solve for x
    x = 502,730,701.65/32,497.56
  6. Step 6: Final answer
    x = 15,469.80

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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.