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Finding the Fourth Proportional to 80,114.02, 120,169.70 and 32,718.70

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Solution

The fourth proportional to 80,114.02, 120,169.70 and 32,718.70 is: 49,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,114.02 : 120,169.70 = 32,718.70 : x
  2. Step 2: Convert to fraction form
    80,114.02/120,169.70 = 32,718.70/x
  3. Step 3: Cross multiply
    80,114.02x = 120,169.70 × 32,718.70
  4. Step 4: Simplify right side
    80,114.02x = 3,931,796,363.39
  5. Step 5: Solve for x
    x = 3,931,796,363.39/80,114.02
  6. Step 6: Final answer
    x = 49,077.51

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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.