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Finding the Fourth Proportional to 31,181.40, 43,031.46 and 17,753.76

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Solution

The fourth proportional to 31,181.40, 43,031.46 and 17,753.76 is: 24,500.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,181.40 : 43,031.46 = 17,753.76 : x
  2. Step 2: Convert to fraction form
    31,181.40/43,031.46 = 17,753.76/x
  3. Step 3: Cross multiply
    31,181.40x = 43,031.46 × 17,753.76
  4. Step 4: Simplify right side
    31,181.40x = 763,970,213.29
  5. Step 5: Solve for x
    x = 763,970,213.29/31,181.40
  6. Step 6: Final answer
    x = 24,500.83

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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.