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Finding the Fourth Proportional to 87,824.32, 121,197.87 and 47,538.56

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Solution

The fourth proportional to 87,824.32, 121,197.87 and 47,538.56 is: 65,603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,824.32 : 121,197.87 = 47,538.56 : x
  2. Step 2: Convert to fraction form
    87,824.32/121,197.87 = 47,538.56/x
  3. Step 3: Cross multiply
    87,824.32x = 121,197.87 × 47,538.56
  4. Step 4: Simplify right side
    87,824.32x = 5,761,572,517.86
  5. Step 5: Solve for x
    x = 5,761,572,517.86/87,824.32
  6. Step 6: Final answer
    x = 65,603.39

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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.