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Finding the Fourth Proportional to 45,506.97, 68,259.78 and 27,742.86

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Solution

The fourth proportional to 45,506.97, 68,259.78 and 27,742.86 is: 41,613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,506.97 : 68,259.78 = 27,742.86 : x
  2. Step 2: Convert to fraction form
    45,506.97/68,259.78 = 27,742.86/x
  3. Step 3: Cross multiply
    45,506.97x = 68,259.78 × 27,742.86
  4. Step 4: Simplify right side
    45,506.97x = 1,893,721,520.17
  5. Step 5: Solve for x
    x = 1,893,721,520.17/45,506.97
  6. Step 6: Final answer
    x = 41,613.88

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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.