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Finding the Fourth Proportional to 87,597, 120,883.86 and 47,853

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Solution

The fourth proportional to 87,597, 120,883.86 and 47,853 is: 66,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,597 : 120,883.86 = 47,853 : x
  2. Step 2: Convert to fraction form
    87,597/120,883.86 = 47,853/x
  3. Step 3: Cross multiply
    87,597x = 120,883.86 × 47,853
  4. Step 4: Simplify right side
    87,597x = 5,784,655,352.58
  5. Step 5: Solve for x
    x = 5,784,655,352.58/87,597
  6. Step 6: Final answer
    x = 66,037.14

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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.