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Finding the Fourth Proportional to 20,110.97, 30,167.99 and 5,319.50

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Solution

The fourth proportional to 20,110.97, 30,167.99 and 5,319.50 is: 7,979.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,110.97 : 30,167.99 = 5,319.50 : x
  2. Step 2: Convert to fraction form
    20,110.97/30,167.99 = 5,319.50/x
  3. Step 3: Cross multiply
    20,110.97x = 30,167.99 × 5,319.50
  4. Step 4: Simplify right side
    20,110.97x = 160,478,445.37
  5. Step 5: Solve for x
    x = 160,478,445.37/20,110.97
  6. Step 6: Final answer
    x = 7,979.65

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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.