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Finding the Fourth Proportional to 31,872.80, 47,722.80 and 24,960.80

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Solution

The fourth proportional to 31,872.80, 47,722.80 and 24,960.80 is: 37,373.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,872.80 : 47,722.80 = 24,960.80 : x
  2. Step 2: Convert to fraction form
    31,872.80/47,722.80 = 24,960.80/x
  3. Step 3: Cross multiply
    31,872.80x = 47,722.80 × 24,960.80
  4. Step 4: Simplify right side
    31,872.80x = 1,191,199,266.24
  5. Step 5: Solve for x
    x = 1,191,199,266.24/31,872.80
  6. Step 6: Final answer
    x = 37,373.54

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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.