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Finding the Fourth Proportional to 48,596.32, 67,062.63 and 27,382.42

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Solution

The fourth proportional to 48,596.32, 67,062.63 and 27,382.42 is: 37,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,596.32 : 67,062.63 = 27,382.42 : x
  2. Step 2: Convert to fraction form
    48,596.32/67,062.63 = 27,382.42/x
  3. Step 3: Cross multiply
    48,596.32x = 67,062.63 × 27,382.42
  4. Step 4: Simplify right side
    48,596.32x = 1,836,337,100.96
  5. Step 5: Solve for x
    x = 1,836,337,100.96/48,596.32
  6. Step 6: Final answer
    x = 37,787.58

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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.