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Finding the Fourth Proportional to 87,268, 120,429.84 and 47,524

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Solution

The fourth proportional to 87,268, 120,429.84 and 47,524 is: 65,583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,268 : 120,429.84 = 47,524 : x
  2. Step 2: Convert to fraction form
    87,268/120,429.84 = 47,524/x
  3. Step 3: Cross multiply
    87,268x = 120,429.84 × 47,524
  4. Step 4: Simplify right side
    87,268x = 5,723,307,716.16
  5. Step 5: Solve for x
    x = 5,723,307,716.16/87,268
  6. Step 6: Final answer
    x = 65,583.12

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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.