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Finding the Fourth Proportional to 39,957.20, 59,830.20 and 32,022.80

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Solution

The fourth proportional to 39,957.20, 59,830.20 and 32,022.80 is: 47,949.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,957.20 : 59,830.20 = 32,022.80 : x
  2. Step 2: Convert to fraction form
    39,957.20/59,830.20 = 32,022.80/x
  3. Step 3: Cross multiply
    39,957.20x = 59,830.20 × 32,022.80
  4. Step 4: Simplify right side
    39,957.20x = 1,915,930,528.56
  5. Step 5: Solve for x
    x = 1,915,930,528.56/39,957.20
  6. Step 6: Final answer
    x = 47,949.57

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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.