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Finding the Fourth Proportional to 87,332, 120,518.16 and 47,588

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Solution

The fourth proportional to 87,332, 120,518.16 and 47,588 is: 65,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,332 : 120,518.16 = 47,588 : x
  2. Step 2: Convert to fraction form
    87,332/120,518.16 = 47,588/x
  3. Step 3: Cross multiply
    87,332x = 120,518.16 × 47,588
  4. Step 4: Simplify right side
    87,332x = 5,735,218,198.08
  5. Step 5: Solve for x
    x = 5,735,218,198.08/87,332
  6. Step 6: Final answer
    x = 65,671.44

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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.