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Finding the Fourth Proportional to 31,887.84, 43,959.13 and 21,114.66

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Solution

The fourth proportional to 31,887.84, 43,959.13 and 21,114.66 is: 29,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,887.84 : 43,959.13 = 21,114.66 : x
  2. Step 2: Convert to fraction form
    31,887.84/43,959.13 = 21,114.66/x
  3. Step 3: Cross multiply
    31,887.84x = 43,959.13 × 21,114.66
  4. Step 4: Simplify right side
    31,887.84x = 928,182,083.85
  5. Step 5: Solve for x
    x = 928,182,083.85/31,887.84
  6. Step 6: Final answer
    x = 29,107.71

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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.