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Finding the Fourth Proportional to 33,272.84, 49,910.10 and 9,899.48

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Solution

The fourth proportional to 33,272.84, 49,910.10 and 9,899.48 is: 14,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,272.84 : 49,910.10 = 9,899.48 : x
  2. Step 2: Convert to fraction form
    33,272.84/49,910.10 = 9,899.48/x
  3. Step 3: Cross multiply
    33,272.84x = 49,910.10 × 9,899.48
  4. Step 4: Simplify right side
    33,272.84x = 494,084,036.75
  5. Step 5: Solve for x
    x = 494,084,036.75/33,272.84
  6. Step 6: Final answer
    x = 14,849.47

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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.