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Finding the Fourth Proportional to 52,013.68, 71,786.92 and 34,160.48

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Solution

The fourth proportional to 52,013.68, 71,786.92 and 34,160.48 is: 47,146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,013.68 : 71,786.92 = 34,160.48 : x
  2. Step 2: Convert to fraction form
    52,013.68/71,786.92 = 34,160.48/x
  3. Step 3: Cross multiply
    52,013.68x = 71,786.92 × 34,160.48
  4. Step 4: Simplify right side
    52,013.68x = 2,452,275,644.92
  5. Step 5: Solve for x
    x = 2,452,275,644.92/52,013.68
  6. Step 6: Final answer
    x = 47,146.74

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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.