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Finding the Fourth Proportional to 20,148.70, 30,223.05 and 15,540.70

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Solution

The fourth proportional to 20,148.70, 30,223.05 and 15,540.70 is: 23,311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,148.70 : 30,223.05 = 15,540.70 : x
  2. Step 2: Convert to fraction form
    20,148.70/30,223.05 = 15,540.70/x
  3. Step 3: Cross multiply
    20,148.70x = 30,223.05 × 15,540.70
  4. Step 4: Simplify right side
    20,148.70x = 469,687,353.14
  5. Step 5: Solve for x
    x = 469,687,353.14/20,148.70
  6. Step 6: Final answer
    x = 23,311.05

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1.5x scale

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.