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Finding the Fourth Proportional to 31,775.53, 43,832.01 and 19,818.10

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Solution

The fourth proportional to 31,775.53, 43,832.01 and 19,818.10 is: 27,337.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.53 : 43,832.01 = 19,818.10 : x
  2. Step 2: Convert to fraction form
    31,775.53/43,832.01 = 19,818.10/x
  3. Step 3: Cross multiply
    31,775.53x = 43,832.01 × 19,818.10
  4. Step 4: Simplify right side
    31,775.53x = 868,667,167.87
  5. Step 5: Solve for x
    x = 868,667,167.87/31,775.53
  6. Step 6: Final answer
    x = 27,337.62

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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.