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Finding the Fourth Proportional to 71,851.60, 107,726.20 and 27,461.20

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Solution

The fourth proportional to 71,851.60, 107,726.20 and 27,461.20 is: 41,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,851.60 : 107,726.20 = 27,461.20 : x
  2. Step 2: Convert to fraction form
    71,851.60/107,726.20 = 27,461.20/x
  3. Step 3: Cross multiply
    71,851.60x = 107,726.20 × 27,461.20
  4. Step 4: Simplify right side
    71,851.60x = 2,958,290,723.44
  5. Step 5: Solve for x
    x = 2,958,290,723.44/71,851.60
  6. Step 6: Final answer
    x = 41,172.23

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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.