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Finding the Fourth Proportional to 32,250.47, 48,372.03 and 11,186.61

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Solution

The fourth proportional to 32,250.47, 48,372.03 and 11,186.61 is: 16,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,250.47 : 48,372.03 = 11,186.61 : x
  2. Step 2: Convert to fraction form
    32,250.47/48,372.03 = 11,186.61/x
  3. Step 3: Cross multiply
    32,250.47x = 48,372.03 × 11,186.61
  4. Step 4: Simplify right side
    32,250.47x = 541,119,034.52
  5. Step 5: Solve for x
    x = 541,119,034.52/32,250.47
  6. Step 6: Final answer
    x = 16,778.64

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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.