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Finding the Fourth Proportional to 51,404.70, 77,115.15 and 16,347.90

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Solution

The fourth proportional to 51,404.70, 77,115.15 and 16,347.90 is: 24,524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,404.70 : 77,115.15 = 16,347.90 : x
  2. Step 2: Convert to fraction form
    51,404.70/77,115.15 = 16,347.90/x
  3. Step 3: Cross multiply
    51,404.70x = 77,115.15 × 16,347.90
  4. Step 4: Simplify right side
    51,404.70x = 1,260,670,760.69
  5. Step 5: Solve for x
    x = 1,260,670,760.69/51,404.70
  6. Step 6: Final answer
    x = 24,524.43

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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.