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Finding the Fourth Proportional to 25,425.20, 38,029.80 and 22,811.60

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Solution

The fourth proportional to 25,425.20, 38,029.80 and 22,811.60 is: 34,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,425.20 : 38,029.80 = 22,811.60 : x
  2. Step 2: Convert to fraction form
    25,425.20/38,029.80 = 22,811.60/x
  3. Step 3: Cross multiply
    25,425.20x = 38,029.80 × 22,811.60
  4. Step 4: Simplify right side
    25,425.20x = 867,520,585.68
  5. Step 5: Solve for x
    x = 867,520,585.68/25,425.20
  6. Step 6: Final answer
    x = 34,120.50

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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.