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Finding the Fourth Proportional to 67,298.80, 100,834.80 and 53,204.80

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Solution

The fourth proportional to 67,298.80, 100,834.80 and 53,204.80 is: 79,717.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,298.80 : 100,834.80 = 53,204.80 : x
  2. Step 2: Convert to fraction form
    67,298.80/100,834.80 = 53,204.80/x
  3. Step 3: Cross multiply
    67,298.80x = 100,834.80 × 53,204.80
  4. Step 4: Simplify right side
    67,298.80x = 5,364,895,367.04
  5. Step 5: Solve for x
    x = 5,364,895,367.04/67,298.80
  6. Step 6: Final answer
    x = 79,717.55

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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.