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Finding the Fourth Proportional to 80,114.50, 120,191.19 and 24,710.50

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Solution

The fourth proportional to 80,114.50, 120,191.19 and 24,710.50 is: 37,071.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,114.50 : 120,191.19 = 24,710.50 : x
  2. Step 2: Convert to fraction form
    80,114.50/120,191.19 = 24,710.50/x
  3. Step 3: Cross multiply
    80,114.50x = 120,191.19 × 24,710.50
  4. Step 4: Simplify right side
    80,114.50x = 2,969,984,400.50
  5. Step 5: Solve for x
    x = 2,969,984,400.50/80,114.50
  6. Step 6: Final answer
    x = 37,071.75

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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.