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Finding the Fourth Proportional to 31,424.80, 47,119.36 and 10,359.12

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Solution

The fourth proportional to 31,424.80, 47,119.36 and 10,359.12 is: 15,532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,424.80 : 47,119.36 = 10,359.12 : x
  2. Step 2: Convert to fraction form
    31,424.80/47,119.36 = 10,359.12/x
  3. Step 3: Cross multiply
    31,424.80x = 47,119.36 × 10,359.12
  4. Step 4: Simplify right side
    31,424.80x = 488,115,104.56
  5. Step 5: Solve for x
    x = 488,115,104.56/31,424.80
  6. Step 6: Final answer
    x = 15,532.80

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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.