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Finding the Fourth Proportional to 33,681.38, 46,469 and 21,752.78

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Solution

The fourth proportional to 33,681.38, 46,469 and 21,752.78 is: 30,011.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,681.38 : 46,469 = 21,752.78 : x
  2. Step 2: Convert to fraction form
    33,681.38/46,469 = 21,752.78/x
  3. Step 3: Cross multiply
    33,681.38x = 46,469 × 21,752.78
  4. Step 4: Simplify right side
    33,681.38x = 1,010,829,933.82
  5. Step 5: Solve for x
    x = 1,010,829,933.82/33,681.38
  6. Step 6: Final answer
    x = 30,011.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.