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Finding the Fourth Proportional to 87,209.82, 130,791.31 and 24,014.90

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Solution

The fourth proportional to 87,209.82, 130,791.31 and 24,014.90 is: 36,015.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,209.82 : 130,791.31 = 24,014.90 : x
  2. Step 2: Convert to fraction form
    87,209.82/130,791.31 = 24,014.90/x
  3. Step 3: Cross multiply
    87,209.82x = 130,791.31 × 24,014.90
  4. Step 4: Simplify right side
    87,209.82x = 3,140,939,516.53
  5. Step 5: Solve for x
    x = 3,140,939,516.53/87,209.82
  6. Step 6: Final answer
    x = 36,015.89

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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.