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Finding the Fourth Proportional to 31,424.39, 47,129.29 and 9,231.80

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Solution

The fourth proportional to 31,424.39, 47,129.29 and 9,231.80 is: 13,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,424.39 : 47,129.29 = 9,231.80 : x
  2. Step 2: Convert to fraction form
    31,424.39/47,129.29 = 9,231.80/x
  3. Step 3: Cross multiply
    31,424.39x = 47,129.29 × 9,231.80
  4. Step 4: Simplify right side
    31,424.39x = 435,088,179.42
  5. Step 5: Solve for x
    x = 435,088,179.42/31,424.39
  6. Step 6: Final answer
    x = 13,845.56

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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.