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Finding the Fourth Proportional to 47,537, 71,249.82 and 16,344.68

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Solution

The fourth proportional to 47,537, 71,249.82 and 16,344.68 is: 24,497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,537 : 71,249.82 = 16,344.68 : x
  2. Step 2: Convert to fraction form
    47,537/71,249.82 = 16,344.68/x
  3. Step 3: Cross multiply
    47,537x = 71,249.82 × 16,344.68
  4. Step 4: Simplify right side
    47,537x = 1,164,555,507.96
  5. Step 5: Solve for x
    x = 1,164,555,507.96/47,537
  6. Step 6: Final answer
    x = 24,497.88

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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.