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Finding the Fourth Proportional to 75,377.88, 113,067.90 and 35,939.16

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Solution

The fourth proportional to 75,377.88, 113,067.90 and 35,939.16 is: 53,909.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,377.88 : 113,067.90 = 35,939.16 : x
  2. Step 2: Convert to fraction form
    75,377.88/113,067.90 = 35,939.16/x
  3. Step 3: Cross multiply
    75,377.88x = 113,067.90 × 35,939.16
  4. Step 4: Simplify right side
    75,377.88x = 4,063,565,348.96
  5. Step 5: Solve for x
    x = 4,063,565,348.96/75,377.88
  6. Step 6: Final answer
    x = 53,909.25

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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.