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Finding the Fourth Proportional to 52,144.68, 71,947.47 and 35,180.34

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Solution

The fourth proportional to 52,144.68, 71,947.47 and 35,180.34 is: 48,540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,144.68 : 71,947.47 = 35,180.34 : x
  2. Step 2: Convert to fraction form
    52,144.68/71,947.47 = 35,180.34/x
  3. Step 3: Cross multiply
    52,144.68x = 71,947.47 × 35,180.34
  4. Step 4: Simplify right side
    52,144.68x = 2,531,136,456.74
  5. Step 5: Solve for x
    x = 2,531,136,456.74/52,144.68
  6. Step 6: Final answer
    x = 48,540.65

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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.