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Finding the Fourth Proportional to 55,920.38, 77,170.12 and 30,769.88

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Solution

The fourth proportional to 55,920.38, 77,170.12 and 30,769.88 is: 42,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,920.38 : 77,170.12 = 30,769.88 : x
  2. Step 2: Convert to fraction form
    55,920.38/77,170.12 = 30,769.88/x
  3. Step 3: Cross multiply
    55,920.38x = 77,170.12 × 30,769.88
  4. Step 4: Simplify right side
    55,920.38x = 2,374,514,869.21
  5. Step 5: Solve for x
    x = 2,374,514,869.21/55,920.38
  6. Step 6: Final answer
    x = 42,462.43

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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.