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Finding the Fourth Proportional to 71,857.19, 107,793.63 and 27,521.57

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Solution

The fourth proportional to 71,857.19, 107,793.63 and 27,521.57 is: 41,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,857.19 : 107,793.63 = 27,521.57 : x
  2. Step 2: Convert to fraction form
    71,857.19/107,793.63 = 27,521.57/x
  3. Step 3: Cross multiply
    71,857.19x = 107,793.63 × 27,521.57
  4. Step 4: Simplify right side
    71,857.19x = 2,966,649,394.63
  5. Step 5: Solve for x
    x = 2,966,649,394.63/71,857.19
  6. Step 6: Final answer
    x = 41,285.36

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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.