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Finding the Fourth Proportional to 38,248.14, 52,753.23 and 27,672.78

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Solution

The fourth proportional to 38,248.14, 52,753.23 and 27,672.78 is: 38,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,248.14 : 52,753.23 = 27,672.78 : x
  2. Step 2: Convert to fraction form
    38,248.14/52,753.23 = 27,672.78/x
  3. Step 3: Cross multiply
    38,248.14x = 52,753.23 × 27,672.78
  4. Step 4: Simplify right side
    38,248.14x = 1,459,828,528.08
  5. Step 5: Solve for x
    x = 1,459,828,528.08/38,248.14
  6. Step 6: Final answer
    x = 38,167.31

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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.