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Finding the Fourth Proportional to 31,817.13, 43,873.43 and 19,876.11

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Solution

The fourth proportional to 31,817.13, 43,873.43 and 19,876.11 is: 27,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,817.13 : 43,873.43 = 19,876.11 : x
  2. Step 2: Convert to fraction form
    31,817.13/43,873.43 = 19,876.11/x
  3. Step 3: Cross multiply
    31,817.13x = 43,873.43 × 19,876.11
  4. Step 4: Simplify right side
    31,817.13x = 872,033,021.38
  5. Step 5: Solve for x
    x = 872,033,021.38/31,817.13
  6. Step 6: Final answer
    x = 27,407.66

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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.