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Finding the Fourth Proportional to 73,223.20, 109,834.80 and 17,819.20

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Solution

The fourth proportional to 73,223.20, 109,834.80 and 17,819.20 is: 26,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,223.20 : 109,834.80 = 17,819.20 : x
  2. Step 2: Convert to fraction form
    73,223.20/109,834.80 = 17,819.20/x
  3. Step 3: Cross multiply
    73,223.20x = 109,834.80 × 17,819.20
  4. Step 4: Simplify right side
    73,223.20x = 1,957,168,268.16
  5. Step 5: Solve for x
    x = 1,957,168,268.16/73,223.20
  6. Step 6: Final answer
    x = 26,728.80

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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.