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Finding the Fourth Proportional to 55,781.38, 76,979.22 and 30,287.74

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Solution

The fourth proportional to 55,781.38, 76,979.22 and 30,287.74 is: 41,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,781.38 : 76,979.22 = 30,287.74 : x
  2. Step 2: Convert to fraction form
    55,781.38/76,979.22 = 30,287.74/x
  3. Step 3: Cross multiply
    55,781.38x = 76,979.22 × 30,287.74
  4. Step 4: Simplify right side
    55,781.38x = 2,331,526,600.76
  5. Step 5: Solve for x
    x = 2,331,526,600.76/55,781.38
  6. Step 6: Final answer
    x = 41,797.58

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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.