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Finding the Fourth Proportional to 31,435.84, 43,115.67 and 27,892.90

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Solution

The fourth proportional to 31,435.84, 43,115.67 and 27,892.90 is: 38,256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,435.84 : 43,115.67 = 27,892.90 : x
  2. Step 2: Convert to fraction form
    31,435.84/43,115.67 = 27,892.90/x
  3. Step 3: Cross multiply
    31,435.84x = 43,115.67 × 27,892.90
  4. Step 4: Simplify right side
    31,435.84x = 1,202,621,071.74
  5. Step 5: Solve for x
    x = 1,202,621,071.74/31,435.84
  6. Step 6: Final answer
    x = 38,256.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.