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Finding the Fourth Proportional to 48,597.52, 67,060.56 and 27,382

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Solution

The fourth proportional to 48,597.52, 67,060.56 and 27,382 is: 37,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,597.52 : 67,060.56 = 27,382 : x
  2. Step 2: Convert to fraction form
    48,597.52/67,060.56 = 27,382/x
  3. Step 3: Cross multiply
    48,597.52x = 67,060.56 × 27,382
  4. Step 4: Simplify right side
    48,597.52x = 1,836,252,253.92
  5. Step 5: Solve for x
    x = 1,836,252,253.92/48,597.52
  6. Step 6: Final answer
    x = 37,784.90

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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.