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Finding the Fourth Proportional to 31,843.44, 47,782.44 and 13,374.96

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Solution

The fourth proportional to 31,843.44, 47,782.44 and 13,374.96 is: 20,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.44 : 47,782.44 = 13,374.96 : x
  2. Step 2: Convert to fraction form
    31,843.44/47,782.44 = 13,374.96/x
  3. Step 3: Cross multiply
    31,843.44x = 47,782.44 × 13,374.96
  4. Step 4: Simplify right side
    31,843.44x = 639,088,223.70
  5. Step 5: Solve for x
    x = 639,088,223.70/31,843.44
  6. Step 6: Final answer
    x = 20,069.70

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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.