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Finding the Fourth Proportional to 132,029.20, 198,043.80 and 38,522.80

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Solution

The fourth proportional to 132,029.20, 198,043.80 and 38,522.80 is: 57,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,029.20 : 198,043.80 = 38,522.80 : x
  2. Step 2: Convert to fraction form
    132,029.20/198,043.80 = 38,522.80/x
  3. Step 3: Cross multiply
    132,029.20x = 198,043.80 × 38,522.80
  4. Step 4: Simplify right side
    132,029.20x = 7,629,201,698.64
  5. Step 5: Solve for x
    x = 7,629,201,698.64/132,029.20
  6. Step 6: Final answer
    x = 57,784.20

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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.