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Finding the Fourth Proportional to 71,808.30, 107,712.45 and 27,412.20

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Solution

The fourth proportional to 71,808.30, 107,712.45 and 27,412.20 is: 41,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,808.30 : 107,712.45 = 27,412.20 : x
  2. Step 2: Convert to fraction form
    71,808.30/107,712.45 = 27,412.20/x
  3. Step 3: Cross multiply
    71,808.30x = 107,712.45 × 27,412.20
  4. Step 4: Simplify right side
    71,808.30x = 2,952,635,221.89
  5. Step 5: Solve for x
    x = 2,952,635,221.89/71,808.30
  6. Step 6: Final answer
    x = 41,118.30

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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.