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Finding the Fourth Proportional to 25,491.70, 38,200.20 and 22,859.20

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Solution

The fourth proportional to 25,491.70, 38,200.20 and 22,859.20 is: 34,255.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,491.70 : 38,200.20 = 22,859.20 : x
  2. Step 2: Convert to fraction form
    25,491.70/38,200.20 = 22,859.20/x
  3. Step 3: Cross multiply
    25,491.70x = 38,200.20 × 22,859.20
  4. Step 4: Simplify right side
    25,491.70x = 873,226,011.84
  5. Step 5: Solve for x
    x = 873,226,011.84/25,491.70
  6. Step 6: Final answer
    x = 34,255.31

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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.