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Finding the Fourth Proportional to 33,115.67, 49,675.94 and 9,743.12

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Solution

The fourth proportional to 33,115.67, 49,675.94 and 9,743.12 is: 14,615.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,115.67 : 49,675.94 = 9,743.12 : x
  2. Step 2: Convert to fraction form
    33,115.67/49,675.94 = 9,743.12/x
  3. Step 3: Cross multiply
    33,115.67x = 49,675.94 × 9,743.12
  4. Step 4: Simplify right side
    33,115.67x = 483,998,644.53
  5. Step 5: Solve for x
    x = 483,998,644.53/33,115.67
  6. Step 6: Final answer
    x = 14,615.40

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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.