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Finding the Fourth Proportional to 20,138.70, 30,232.35 and 19,992.90

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Solution

The fourth proportional to 20,138.70, 30,232.35 and 19,992.90 is: 30,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.70 : 30,232.35 = 19,992.90 : x
  2. Step 2: Convert to fraction form
    20,138.70/30,232.35 = 19,992.90/x
  3. Step 3: Cross multiply
    20,138.70x = 30,232.35 × 19,992.90
  4. Step 4: Simplify right side
    20,138.70x = 604,432,350.32
  5. Step 5: Solve for x
    x = 604,432,350.32/20,138.70
  6. Step 6: Final answer
    x = 30,013.47

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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.