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Finding the Fourth Proportional to 87,580, 120,863.28 and 47,836

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Solution

The fourth proportional to 87,580, 120,863.28 and 47,836 is: 66,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,580 : 120,863.28 = 47,836 : x
  2. Step 2: Convert to fraction form
    87,580/120,863.28 = 47,836/x
  3. Step 3: Cross multiply
    87,580x = 120,863.28 × 47,836
  4. Step 4: Simplify right side
    87,580x = 5,781,615,862.08
  5. Step 5: Solve for x
    x = 5,781,615,862.08/87,580
  6. Step 6: Final answer
    x = 66,015.25

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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.