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Finding the Fourth Proportional to 87,195.50, 130,794.48 and 24,866

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Solution

The fourth proportional to 87,195.50, 130,794.48 and 24,866 is: 37,299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,195.50 : 130,794.48 = 24,866 : x
  2. Step 2: Convert to fraction form
    87,195.50/130,794.48 = 24,866/x
  3. Step 3: Cross multiply
    87,195.50x = 130,794.48 × 24,866
  4. Step 4: Simplify right side
    87,195.50x = 3,252,335,539.68
  5. Step 5: Solve for x
    x = 3,252,335,539.68/87,195.50
  6. Step 6: Final answer
    x = 37,299.35

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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.