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Finding the Fourth Proportional to 31,248.70, 43,122.14 and 17,824.30

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Solution

The fourth proportional to 31,248.70, 43,122.14 and 17,824.30 is: 24,596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,248.70 : 43,122.14 = 17,824.30 : x
  2. Step 2: Convert to fraction form
    31,248.70/43,122.14 = 17,824.30/x
  3. Step 3: Cross multiply
    31,248.70x = 43,122.14 × 17,824.30
  4. Step 4: Simplify right side
    31,248.70x = 768,621,829.92
  5. Step 5: Solve for x
    x = 768,621,829.92/31,248.70
  6. Step 6: Final answer
    x = 24,596.92

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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.