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Finding the Fourth Proportional to 71,494.86, 107,221.41 and 27,089.58

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Solution

The fourth proportional to 71,494.86, 107,221.41 and 27,089.58 is: 40,626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,494.86 : 107,221.41 = 27,089.58 : x
  2. Step 2: Convert to fraction form
    71,494.86/107,221.41 = 27,089.58/x
  3. Step 3: Cross multiply
    71,494.86x = 107,221.41 × 27,089.58
  4. Step 4: Simplify right side
    71,494.86x = 2,904,582,963.91
  5. Step 5: Solve for x
    x = 2,904,582,963.91/71,494.86
  6. Step 6: Final answer
    x = 40,626.46

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1.5x scale

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.