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Finding the Fourth Proportional to 86,103.62, 118,822.18 and 47,862.16

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Solution

The fourth proportional to 86,103.62, 118,822.18 and 47,862.16 is: 66,049.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,103.62 : 118,822.18 = 47,862.16 : x
  2. Step 2: Convert to fraction form
    86,103.62/118,822.18 = 47,862.16/x
  3. Step 3: Cross multiply
    86,103.62x = 118,822.18 × 47,862.16
  4. Step 4: Simplify right side
    86,103.62x = 5,687,086,190.71
  5. Step 5: Solve for x
    x = 5,687,086,190.71/86,103.62
  6. Step 6: Final answer
    x = 66,049.33

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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.