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Finding the Fourth Proportional to 33,292.80, 49,924.62 and 9,914.58

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Solution

The fourth proportional to 33,292.80, 49,924.62 and 9,914.58 is: 14,867.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,292.80 : 49,924.62 = 9,914.58 : x
  2. Step 2: Convert to fraction form
    33,292.80/49,924.62 = 9,914.58/x
  3. Step 3: Cross multiply
    33,292.80x = 49,924.62 × 9,914.58
  4. Step 4: Simplify right side
    33,292.80x = 494,981,638.96
  5. Step 5: Solve for x
    x = 494,981,638.96/33,292.80
  6. Step 6: Final answer
    x = 14,867.53

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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.