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Finding the Fourth Proportional to 33,228.70, 49,851.25 and 9,855.14

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Solution

The fourth proportional to 33,228.70, 49,851.25 and 9,855.14 is: 14,785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,228.70 : 49,851.25 = 9,855.14 : x
  2. Step 2: Convert to fraction form
    33,228.70/49,851.25 = 9,855.14/x
  3. Step 3: Cross multiply
    33,228.70x = 49,851.25 × 9,855.14
  4. Step 4: Simplify right side
    33,228.70x = 491,290,774.03
  5. Step 5: Solve for x
    x = 491,290,774.03/33,228.70
  6. Step 6: Final answer
    x = 14,785.13

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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.