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Finding the Fourth Proportional to 32,497.68, 48,753.81 and 10,311.78

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Solution

The fourth proportional to 32,497.68, 48,753.81 and 10,311.78 is: 15,469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,497.68 : 48,753.81 = 10,311.78 : x
  2. Step 2: Convert to fraction form
    32,497.68/48,753.81 = 10,311.78/x
  3. Step 3: Cross multiply
    32,497.68x = 48,753.81 × 10,311.78
  4. Step 4: Simplify right side
    32,497.68x = 502,738,511.32
  5. Step 5: Solve for x
    x = 502,738,511.32/32,497.68
  6. Step 6: Final answer
    x = 15,469.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.