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Finding the Fourth Proportional to 67,854.69, 101,752.34 and 27,846.23

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Solution

The fourth proportional to 67,854.69, 101,752.34 and 27,846.23 is: 41,757.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,854.69 : 101,752.34 = 27,846.23 : x
  2. Step 2: Convert to fraction form
    67,854.69/101,752.34 = 27,846.23/x
  3. Step 3: Cross multiply
    67,854.69x = 101,752.34 × 27,846.23
  4. Step 4: Simplify right side
    67,854.69x = 2,833,418,414.69
  5. Step 5: Solve for x
    x = 2,833,418,414.69/67,854.69
  6. Step 6: Final answer
    x = 41,757.15

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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.