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Finding the Fourth Proportional to 75,375.38, 104,017.56 and 41,384.47

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Solution

The fourth proportional to 75,375.38, 104,017.56 and 41,384.47 is: 57,110.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,375.38 : 104,017.56 = 41,384.47 : x
  2. Step 2: Convert to fraction form
    75,375.38/104,017.56 = 41,384.47/x
  3. Step 3: Cross multiply
    75,375.38x = 104,017.56 × 41,384.47
  4. Step 4: Simplify right side
    75,375.38x = 4,304,711,591.29
  5. Step 5: Solve for x
    x = 4,304,711,591.29/75,375.38
  6. Step 6: Final answer
    x = 57,110.31

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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.