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Finding the Fourth Proportional to 31,871.80, 47,721.30 and 24,959.80

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Solution

The fourth proportional to 31,871.80, 47,721.30 and 24,959.80 is: 37,372.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,871.80 : 47,721.30 = 24,959.80 : x
  2. Step 2: Convert to fraction form
    31,871.80/47,721.30 = 24,959.80/x
  3. Step 3: Cross multiply
    31,871.80x = 47,721.30 × 24,959.80
  4. Step 4: Simplify right side
    31,871.80x = 1,191,114,103.74
  5. Step 5: Solve for x
    x = 1,191,114,103.74/31,871.80
  6. Step 6: Final answer
    x = 37,372.04

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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.