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Finding the Fourth Proportional to 75,366, 104,008.32 and 41,832

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Solution

The fourth proportional to 75,366, 104,008.32 and 41,832 is: 57,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,366 : 104,008.32 = 41,832 : x
  2. Step 2: Convert to fraction form
    75,366/104,008.32 = 41,832/x
  3. Step 3: Cross multiply
    75,366x = 104,008.32 × 41,832
  4. Step 4: Simplify right side
    75,366x = 4,350,876,042.24
  5. Step 5: Solve for x
    x = 4,350,876,042.24/75,366
  6. Step 6: Final answer
    x = 57,729.96

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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.