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Finding the Fourth Proportional to 75,886.38, 104,723.36 and 41,894.91

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Solution

The fourth proportional to 75,886.38, 104,723.36 and 41,894.91 is: 57,815.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,886.38 : 104,723.36 = 41,894.91 : x
  2. Step 2: Convert to fraction form
    75,886.38/104,723.36 = 41,894.91/x
  3. Step 3: Cross multiply
    75,886.38x = 104,723.36 × 41,894.91
  4. Step 4: Simplify right side
    75,886.38x = 4,387,375,532.62
  5. Step 5: Solve for x
    x = 4,387,375,532.62/75,886.38
  6. Step 6: Final answer
    x = 57,815.06

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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.