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Finding the Fourth Proportional to 87,277, 120,442.26 and 47,533

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Solution

The fourth proportional to 87,277, 120,442.26 and 47,533 is: 65,595.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,277 : 120,442.26 = 47,533 : x
  2. Step 2: Convert to fraction form
    87,277/120,442.26 = 47,533/x
  3. Step 3: Cross multiply
    87,277x = 120,442.26 × 47,533
  4. Step 4: Simplify right side
    87,277x = 5,724,981,944.58
  5. Step 5: Solve for x
    x = 5,724,981,944.58/87,277
  6. Step 6: Final answer
    x = 65,595.54

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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.