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Finding the Fourth Proportional to 107,731, 161,614.01 and 31,837.24

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Solution

The fourth proportional to 107,731, 161,614.01 and 31,837.24 is: 47,761.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,731 : 161,614.01 = 31,837.24 : x
  2. Step 2: Convert to fraction form
    107,731/161,614.01 = 31,837.24/x
  3. Step 3: Cross multiply
    107,731x = 161,614.01 × 31,837.24
  4. Step 4: Simplify right side
    107,731x = 5,145,344,023.73
  5. Step 5: Solve for x
    x = 5,145,344,023.73/107,731
  6. Step 6: Final answer
    x = 47,761.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.