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Finding the Fourth Proportional to 87,782.60, 131,760.30 and 43,459.40

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Solution

The fourth proportional to 87,782.60, 131,760.30 and 43,459.40 is: 65,231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,782.60 : 131,760.30 = 43,459.40 : x
  2. Step 2: Convert to fraction form
    87,782.60/131,760.30 = 43,459.40/x
  3. Step 3: Cross multiply
    87,782.60x = 131,760.30 × 43,459.40
  4. Step 4: Simplify right side
    87,782.60x = 5,726,223,581.82
  5. Step 5: Solve for x
    x = 5,726,223,581.82/87,782.60
  6. Step 6: Final answer
    x = 65,231.87

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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.