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Finding the Fourth Proportional to 36,234.80, 54,346.38 and 9,933.40

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Solution

The fourth proportional to 36,234.80, 54,346.38 and 9,933.40 is: 14,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,234.80 : 54,346.38 = 9,933.40 : x
  2. Step 2: Convert to fraction form
    36,234.80/54,346.38 = 9,933.40/x
  3. Step 3: Cross multiply
    36,234.80x = 54,346.38 × 9,933.40
  4. Step 4: Simplify right side
    36,234.80x = 539,844,331.09
  5. Step 5: Solve for x
    x = 539,844,331.09/36,234.80
  6. Step 6: Final answer
    x = 14,898.50

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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.