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Finding the Fourth Proportional to 33,142.68, 49,646.88 and 15,348.24

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Solution

The fourth proportional to 33,142.68, 49,646.88 and 15,348.24 is: 22,991.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,142.68 : 49,646.88 = 15,348.24 : x
  2. Step 2: Convert to fraction form
    33,142.68/49,646.88 = 15,348.24/x
  3. Step 3: Cross multiply
    33,142.68x = 49,646.88 × 15,348.24
  4. Step 4: Simplify right side
    33,142.68x = 761,992,229.49
  5. Step 5: Solve for x
    x = 761,992,229.49/33,142.68
  6. Step 6: Final answer
    x = 22,991.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.