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Finding the Fourth Proportional to 31,843.53, 47,772.05 and 10,782.55

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Solution

The fourth proportional to 31,843.53, 47,772.05 and 10,782.55 is: 16,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.53 : 47,772.05 = 10,782.55 : x
  2. Step 2: Convert to fraction form
    31,843.53/47,772.05 = 10,782.55/x
  3. Step 3: Cross multiply
    31,843.53x = 47,772.05 × 10,782.55
  4. Step 4: Simplify right side
    31,843.53x = 515,104,523.53
  5. Step 5: Solve for x
    x = 515,104,523.53/31,843.53
  6. Step 6: Final answer
    x = 16,176.11

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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.