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Finding the Fourth Proportional to 31,722.72, 43,780.95 and 22,156.62

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Solution

The fourth proportional to 31,722.72, 43,780.95 and 22,156.62 is: 30,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,722.72 : 43,780.95 = 22,156.62 : x
  2. Step 2: Convert to fraction form
    31,722.72/43,780.95 = 22,156.62/x
  3. Step 3: Cross multiply
    31,722.72x = 43,780.95 × 22,156.62
  4. Step 4: Simplify right side
    31,722.72x = 970,037,872.39
  5. Step 5: Solve for x
    x = 970,037,872.39/31,722.72
  6. Step 6: Final answer
    x = 30,578.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.