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Finding the Fourth Proportional to 75,278.43, 112,917.48 and 41,542.80

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Solution

The fourth proportional to 75,278.43, 112,917.48 and 41,542.80 is: 62,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,278.43 : 112,917.48 = 41,542.80 : x
  2. Step 2: Convert to fraction form
    75,278.43/112,917.48 = 41,542.80/x
  3. Step 3: Cross multiply
    75,278.43x = 112,917.48 × 41,542.80
  4. Step 4: Simplify right side
    75,278.43x = 4,690,908,288.14
  5. Step 5: Solve for x
    x = 4,690,908,288.14/75,278.43
  6. Step 6: Final answer
    x = 62,314.11

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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.