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Finding the Fourth Proportional to 31,876.34, 43,990.17 and 17,536.53

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Solution

The fourth proportional to 31,876.34, 43,990.17 and 17,536.53 is: 24,200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,876.34 : 43,990.17 = 17,536.53 : x
  2. Step 2: Convert to fraction form
    31,876.34/43,990.17 = 17,536.53/x
  3. Step 3: Cross multiply
    31,876.34x = 43,990.17 × 17,536.53
  4. Step 4: Simplify right side
    31,876.34x = 771,434,935.91
  5. Step 5: Solve for x
    x = 771,434,935.91/31,876.34
  6. Step 6: Final answer
    x = 24,200.87

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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.