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Finding the Fourth Proportional to 31,425.68, 47,131.89 and 9,233.03

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Solution

The fourth proportional to 31,425.68, 47,131.89 and 9,233.03 is: 13,847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,425.68 : 47,131.89 = 9,233.03 : x
  2. Step 2: Convert to fraction form
    31,425.68/47,131.89 = 9,233.03/x
  3. Step 3: Cross multiply
    31,425.68x = 47,131.89 × 9,233.03
  4. Step 4: Simplify right side
    31,425.68x = 435,169,918.67
  5. Step 5: Solve for x
    x = 435,169,918.67/31,425.68
  6. Step 6: Final answer
    x = 13,847.59

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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.