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Finding the Fourth Proportional to 80,165.90, 110,694.33 and 51,499.80

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Solution

The fourth proportional to 80,165.90, 110,694.33 and 51,499.80 is: 71,111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,165.90 : 110,694.33 = 51,499.80 : x
  2. Step 2: Convert to fraction form
    80,165.90/110,694.33 = 51,499.80/x
  3. Step 3: Cross multiply
    80,165.90x = 110,694.33 × 51,499.80
  4. Step 4: Simplify right side
    80,165.90x = 5,700,735,302.66
  5. Step 5: Solve for x
    x = 5,700,735,302.66/80,165.90
  6. Step 6: Final answer
    x = 71,111.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.