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Finding the Fourth Proportional to 71,992.80, 107,843.40 and 49,831.20

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Solution

The fourth proportional to 71,992.80, 107,843.40 and 49,831.20 is: 74,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,992.80 : 107,843.40 = 49,831.20 : x
  2. Step 2: Convert to fraction form
    71,992.80/107,843.40 = 49,831.20/x
  3. Step 3: Cross multiply
    71,992.80x = 107,843.40 × 49,831.20
  4. Step 4: Simplify right side
    71,992.80x = 5,373,966,034.08
  5. Step 5: Solve for x
    x = 5,373,966,034.08/71,992.80
  6. Step 6: Final answer
    x = 74,645.88

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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.