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Finding the Fourth Proportional to 36,589.50, 50,494.05 and 19,822.50

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Solution

The fourth proportional to 36,589.50, 50,494.05 and 19,822.50 is: 27,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,589.50 : 50,494.05 = 19,822.50 : x
  2. Step 2: Convert to fraction form
    36,589.50/50,494.05 = 19,822.50/x
  3. Step 3: Cross multiply
    36,589.50x = 50,494.05 × 19,822.50
  4. Step 4: Simplify right side
    36,589.50x = 1,000,918,306.13
  5. Step 5: Solve for x
    x = 1,000,918,306.13/36,589.50
  6. Step 6: Final answer
    x = 27,355.34

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1.5x scale

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.