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Finding the Fourth Proportional to 83,080.24, 114,651.12 and 45,354.80

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Solution

The fourth proportional to 83,080.24, 114,651.12 and 45,354.80 is: 62,589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,080.24 : 114,651.12 = 45,354.80 : x
  2. Step 2: Convert to fraction form
    83,080.24/114,651.12 = 45,354.80/x
  3. Step 3: Cross multiply
    83,080.24x = 114,651.12 × 45,354.80
  4. Step 4: Simplify right side
    83,080.24x = 5,199,978,617.38
  5. Step 5: Solve for x
    x = 5,199,978,617.38/83,080.24
  6. Step 6: Final answer
    x = 62,589.84

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Why These Related Problems?

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