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Finding the Fourth Proportional to 33,070.97, 49,609 and 9,378.11

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Solution

The fourth proportional to 33,070.97, 49,609 and 9,378.11 is: 14,067.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,070.97 : 49,609 = 9,378.11 : x
  2. Step 2: Convert to fraction form
    33,070.97/49,609 = 9,378.11/x
  3. Step 3: Cross multiply
    33,070.97x = 49,609 × 9,378.11
  4. Step 4: Simplify right side
    33,070.97x = 465,238,658.99
  5. Step 5: Solve for x
    x = 465,238,658.99/33,070.97
  6. Step 6: Final answer
    x = 14,067.89

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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.