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Finding the Fourth Proportional to 20,545.75, 30,806.74 and 8,051.15

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Solution

The fourth proportional to 20,545.75, 30,806.74 and 8,051.15 is: 12,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,545.75 : 30,806.74 = 8,051.15 : x
  2. Step 2: Convert to fraction form
    20,545.75/30,806.74 = 8,051.15/x
  3. Step 3: Cross multiply
    20,545.75x = 30,806.74 × 8,051.15
  4. Step 4: Simplify right side
    20,545.75x = 248,029,553.26
  5. Step 5: Solve for x
    x = 248,029,553.26/20,545.75
  6. Step 6: Final answer
    x = 12,072.06

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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.