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Finding the Fourth Proportional to 31,434.84, 43,114.30 and 27,891.90

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Solution

The fourth proportional to 31,434.84, 43,114.30 and 27,891.90 is: 38,255.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,434.84 : 43,114.30 = 27,891.90 : x
  2. Step 2: Convert to fraction form
    31,434.84/43,114.30 = 27,891.90/x
  3. Step 3: Cross multiply
    31,434.84x = 43,114.30 × 27,891.90
  4. Step 4: Simplify right side
    31,434.84x = 1,202,539,744.17
  5. Step 5: Solve for x
    x = 1,202,539,744.17/31,434.84
  6. Step 6: Final answer
    x = 38,255.00

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