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Finding the Fourth Proportional to 87,446, 120,675.60 and 47,702

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Solution

The fourth proportional to 87,446, 120,675.60 and 47,702 is: 65,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,446 : 120,675.60 = 47,702 : x
  2. Step 2: Convert to fraction form
    87,446/120,675.60 = 47,702/x
  3. Step 3: Cross multiply
    87,446x = 120,675.60 × 47,702
  4. Step 4: Simplify right side
    87,446x = 5,756,467,471.20
  5. Step 5: Solve for x
    x = 5,756,467,471.20/87,446
  6. Step 6: Final answer
    x = 65,828.83

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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.