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Finding the Fourth Proportional to 27,382.30, 37,787.80 and 15,118.10

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Solution

The fourth proportional to 27,382.30, 37,787.80 and 15,118.10 is: 20,863.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382.30 : 37,787.80 = 15,118.10 : x
  2. Step 2: Convert to fraction form
    27,382.30/37,787.80 = 15,118.10/x
  3. Step 3: Cross multiply
    27,382.30x = 37,787.80 × 15,118.10
  4. Step 4: Simplify right side
    27,382.30x = 571,279,739.18
  5. Step 5: Solve for x
    x = 571,279,739.18/27,382.30
  6. Step 6: Final answer
    x = 20,863.10

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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.