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Finding the Fourth Proportional to 43,819.20, 65,728.80 and 30,697.20

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Solution

The fourth proportional to 43,819.20, 65,728.80 and 30,697.20 is: 46,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,819.20 : 65,728.80 = 30,697.20 : x
  2. Step 2: Convert to fraction form
    43,819.20/65,728.80 = 30,697.20/x
  3. Step 3: Cross multiply
    43,819.20x = 65,728.80 × 30,697.20
  4. Step 4: Simplify right side
    43,819.20x = 2,017,690,119.36
  5. Step 5: Solve for x
    x = 2,017,690,119.36/43,819.20
  6. Step 6: Final answer
    x = 46,045.80

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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.