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Finding the Fourth Proportional to 71,833.88, 107,741.10 and 19,243.82

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Solution

The fourth proportional to 71,833.88, 107,741.10 and 19,243.82 is: 28,863.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,833.88 : 107,741.10 = 19,243.82 : x
  2. Step 2: Convert to fraction form
    71,833.88/107,741.10 = 19,243.82/x
  3. Step 3: Cross multiply
    71,833.88x = 107,741.10 × 19,243.82
  4. Step 4: Simplify right side
    71,833.88x = 2,073,350,335.00
  5. Step 5: Solve for x
    x = 2,073,350,335.00/71,833.88
  6. Step 6: Final answer
    x = 28,863.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.