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Finding the Fourth Proportional to 31,592.56, 43,596.92 and 20,824.24

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Solution

The fourth proportional to 31,592.56, 43,596.92 and 20,824.24 is: 28,736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,592.56 : 43,596.92 = 20,824.24 : x
  2. Step 2: Convert to fraction form
    31,592.56/43,596.92 = 20,824.24/x
  3. Step 3: Cross multiply
    31,592.56x = 43,596.92 × 20,824.24
  4. Step 4: Simplify right side
    31,592.56x = 907,872,725.34
  5. Step 5: Solve for x
    x = 907,872,725.34/31,592.56
  6. Step 6: Final answer
    x = 28,736.92

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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.