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Finding the Fourth Proportional to 31,019.01, 42,787.04 and 27,049.65

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Solution

The fourth proportional to 31,019.01, 42,787.04 and 27,049.65 is: 37,311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,019.01 : 42,787.04 = 27,049.65 : x
  2. Step 2: Convert to fraction form
    31,019.01/42,787.04 = 27,049.65/x
  3. Step 3: Cross multiply
    31,019.01x = 42,787.04 × 27,049.65
  4. Step 4: Simplify right side
    31,019.01x = 1,157,374,321.29
  5. Step 5: Solve for x
    x = 1,157,374,321.29/31,019.01
  6. Step 6: Final answer
    x = 37,311.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.