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Finding the Fourth Proportional to 47,344.80, 70,984.80 and 22,396.80

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Solution

The fourth proportional to 47,344.80, 70,984.80 and 22,396.80 is: 33,579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,344.80 : 70,984.80 = 22,396.80 : x
  2. Step 2: Convert to fraction form
    47,344.80/70,984.80 = 22,396.80/x
  3. Step 3: Cross multiply
    47,344.80x = 70,984.80 × 22,396.80
  4. Step 4: Simplify right side
    47,344.80x = 1,589,832,368.64
  5. Step 5: Solve for x
    x = 1,589,832,368.64/47,344.80
  6. Step 6: Final answer
    x = 33,579.87

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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.