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Finding the Fourth Proportional to 31,615.44, 47,387.16 and 10,550.54

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Solution

The fourth proportional to 31,615.44, 47,387.16 and 10,550.54 is: 15,813.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,615.44 : 47,387.16 = 10,550.54 : x
  2. Step 2: Convert to fraction form
    31,615.44/47,387.16 = 10,550.54/x
  3. Step 3: Cross multiply
    31,615.44x = 47,387.16 × 10,550.54
  4. Step 4: Simplify right side
    31,615.44x = 499,959,890.13
  5. Step 5: Solve for x
    x = 499,959,890.13/31,615.44
  6. Step 6: Final answer
    x = 15,813.79

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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.