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Finding the Fourth Proportional to 33,273.60, 49,917.60 and 9,902.40

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Solution

The fourth proportional to 33,273.60, 49,917.60 and 9,902.40 is: 14,855.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,273.60 : 49,917.60 = 9,902.40 : x
  2. Step 2: Convert to fraction form
    33,273.60/49,917.60 = 9,902.40/x
  3. Step 3: Cross multiply
    33,273.60x = 49,917.60 × 9,902.40
  4. Step 4: Simplify right side
    33,273.60x = 494,304,042.24
  5. Step 5: Solve for x
    x = 494,304,042.24/33,273.60
  6. Step 6: Final answer
    x = 14,855.74

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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.