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Finding the Fourth Proportional to 48,959.76, 67,561.82 and 27,738.56

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Solution

The fourth proportional to 48,959.76, 67,561.82 and 27,738.56 is: 38,277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,959.76 : 67,561.82 = 27,738.56 : x
  2. Step 2: Convert to fraction form
    48,959.76/67,561.82 = 27,738.56/x
  3. Step 3: Cross multiply
    48,959.76x = 67,561.82 × 27,738.56
  4. Step 4: Simplify right side
    48,959.76x = 1,874,067,597.78
  5. Step 5: Solve for x
    x = 1,874,067,597.78/48,959.76
  6. Step 6: Final answer
    x = 38,277.71

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1.5x scale

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.