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Finding the Fourth Proportional to 33,197.78, 49,789.14 and 9,505.04

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Solution

The fourth proportional to 33,197.78, 49,789.14 and 9,505.04 is: 14,255.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,197.78 : 49,789.14 = 9,505.04 : x
  2. Step 2: Convert to fraction form
    33,197.78/49,789.14 = 9,505.04/x
  3. Step 3: Cross multiply
    33,197.78x = 49,789.14 × 9,505.04
  4. Step 4: Simplify right side
    33,197.78x = 473,247,518.32
  5. Step 5: Solve for x
    x = 473,247,518.32/33,197.78
  6. Step 6: Final answer
    x = 14,255.40

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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.