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Finding the Fourth Proportional to 33,227.66, 49,841.67 and 9,854.30

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Solution

The fourth proportional to 33,227.66, 49,841.67 and 9,854.30 is: 14,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,227.66 : 49,841.67 = 9,854.30 : x
  2. Step 2: Convert to fraction form
    33,227.66/49,841.67 = 9,854.30/x
  3. Step 3: Cross multiply
    33,227.66x = 49,841.67 × 9,854.30
  4. Step 4: Simplify right side
    33,227.66x = 491,154,768.68
  5. Step 5: Solve for x
    x = 491,154,768.68/33,227.66
  6. Step 6: Final answer
    x = 14,781.50

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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.