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Finding the Fourth Proportional to 83,199.13, 124,797.47 and 38,801

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Solution

The fourth proportional to 83,199.13, 124,797.47 and 38,801 is: 58,200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,199.13 : 124,797.47 = 38,801 : x
  2. Step 2: Convert to fraction form
    83,199.13/124,797.47 = 38,801/x
  3. Step 3: Cross multiply
    83,199.13x = 124,797.47 × 38,801
  4. Step 4: Simplify right side
    83,199.13x = 4,842,266,633.47
  5. Step 5: Solve for x
    x = 4,842,266,633.47/83,199.13
  6. Step 6: Final answer
    x = 58,200.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.