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Finding the Fourth Proportional to 71,806.80, 107,710.20 and 27,410.70

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Solution

The fourth proportional to 71,806.80, 107,710.20 and 27,410.70 is: 41,116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,806.80 : 107,710.20 = 27,410.70 : x
  2. Step 2: Convert to fraction form
    71,806.80/107,710.20 = 27,410.70/x
  3. Step 3: Cross multiply
    71,806.80x = 107,710.20 × 27,410.70
  4. Step 4: Simplify right side
    71,806.80x = 2,952,411,979.14
  5. Step 5: Solve for x
    x = 2,952,411,979.14/71,806.80
  6. Step 6: Final answer
    x = 41,116.05

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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.