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Finding the Fourth Proportional to 31,744.56, 47,619.48 and 8,371.08

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Solution

The fourth proportional to 31,744.56, 47,619.48 and 8,371.08 is: 12,557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744.56 : 47,619.48 = 8,371.08 : x
  2. Step 2: Convert to fraction form
    31,744.56/47,619.48 = 8,371.08/x
  3. Step 3: Cross multiply
    31,744.56x = 47,619.48 × 8,371.08
  4. Step 4: Simplify right side
    31,744.56x = 398,626,476.64
  5. Step 5: Solve for x
    x = 398,626,476.64/31,744.56
  6. Step 6: Final answer
    x = 12,557.32

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Why These Related Problems?

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