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Finding the Fourth Proportional to 87,496.50, 120,745.17 and 47,752.50

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Solution

The fourth proportional to 87,496.50, 120,745.17 and 47,752.50 is: 65,898.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,496.50 : 120,745.17 = 47,752.50 : x
  2. Step 2: Convert to fraction form
    87,496.50/120,745.17 = 47,752.50/x
  3. Step 3: Cross multiply
    87,496.50x = 120,745.17 × 47,752.50
  4. Step 4: Simplify right side
    87,496.50x = 5,765,883,730.43
  5. Step 5: Solve for x
    x = 5,765,883,730.43/87,496.50
  6. Step 6: Final answer
    x = 65,898.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.