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Finding the Fourth Proportional to 48,959.87, 67,564.46 and 27,743.18

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Solution

The fourth proportional to 48,959.87, 67,564.46 and 27,743.18 is: 38,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,959.87 : 67,564.46 = 27,743.18 : x
  2. Step 2: Convert to fraction form
    48,959.87/67,564.46 = 27,743.18/x
  3. Step 3: Cross multiply
    48,959.87x = 67,564.46 × 27,743.18
  4. Step 4: Simplify right side
    48,959.87x = 1,874,452,836.67
  5. Step 5: Solve for x
    x = 1,874,452,836.67/48,959.87
  6. Step 6: Final answer
    x = 38,285.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.