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Finding the Fourth Proportional to 36,438.75, 50,281.98 and 20,305.38

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Solution

The fourth proportional to 36,438.75, 50,281.98 and 20,305.38 is: 28,019.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,438.75 : 50,281.98 = 20,305.38 : x
  2. Step 2: Convert to fraction form
    36,438.75/50,281.98 = 20,305.38/x
  3. Step 3: Cross multiply
    36,438.75x = 50,281.98 × 20,305.38
  4. Step 4: Simplify right side
    36,438.75x = 1,020,994,711.05
  5. Step 5: Solve for x
    x = 1,020,994,711.05/36,438.75
  6. Step 6: Final answer
    x = 28,019.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.