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Finding the Fourth Proportional to 31,947.39, 48,029.22 and 25,750.89

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Solution

The fourth proportional to 31,947.39, 48,029.22 and 25,750.89 is: 38,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,947.39 : 48,029.22 = 25,750.89 : x
  2. Step 2: Convert to fraction form
    31,947.39/48,029.22 = 25,750.89/x
  3. Step 3: Cross multiply
    31,947.39x = 48,029.22 × 25,750.89
  4. Step 4: Simplify right side
    31,947.39x = 1,236,795,161.01
  5. Step 5: Solve for x
    x = 1,236,795,161.01/31,947.39
  6. Step 6: Final answer
    x = 38,713.50

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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.