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Finding the Fourth Proportional to 33,132.50, 49,697.12 and 12,354.38

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Solution

The fourth proportional to 33,132.50, 49,697.12 and 12,354.38 is: 18,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,132.50 : 49,697.12 = 12,354.38 : x
  2. Step 2: Convert to fraction form
    33,132.50/49,697.12 = 12,354.38/x
  3. Step 3: Cross multiply
    33,132.50x = 49,697.12 × 12,354.38
  4. Step 4: Simplify right side
    33,132.50x = 613,976,887.79
  5. Step 5: Solve for x
    x = 613,976,887.79/33,132.50
  6. Step 6: Final answer
    x = 18,530.96

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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.