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Finding the Fourth Proportional to 52,049.62, 71,827.98 and 28,175.68

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Solution

The fourth proportional to 52,049.62, 71,827.98 and 28,175.68 is: 38,882.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,049.62 : 71,827.98 = 28,175.68 : x
  2. Step 2: Convert to fraction form
    52,049.62/71,827.98 = 28,175.68/x
  3. Step 3: Cross multiply
    52,049.62x = 71,827.98 × 28,175.68
  4. Step 4: Simplify right side
    52,049.62x = 2,023,801,820.39
  5. Step 5: Solve for x
    x = 2,023,801,820.39/52,049.62
  6. Step 6: Final answer
    x = 38,882.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.