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Finding the Fourth Proportional to 76,353.72, 114,515.50 and 25,747.74

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Solution

The fourth proportional to 76,353.72, 114,515.50 and 25,747.74 is: 38,616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,353.72 : 114,515.50 = 25,747.74 : x
  2. Step 2: Convert to fraction form
    76,353.72/114,515.50 = 25,747.74/x
  3. Step 3: Cross multiply
    76,353.72x = 114,515.50 × 25,747.74
  4. Step 4: Simplify right side
    76,353.72x = 2,948,515,319.97
  5. Step 5: Solve for x
    x = 2,948,515,319.97/76,353.72
  6. Step 6: Final answer
    x = 38,616.52

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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.