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Finding the Fourth Proportional to 33,241.86, 49,872.02 and 18,461.16

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Solution

The fourth proportional to 33,241.86, 49,872.02 and 18,461.16 is: 27,696.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,241.86 : 49,872.02 = 18,461.16 : x
  2. Step 2: Convert to fraction form
    33,241.86/49,872.02 = 18,461.16/x
  3. Step 3: Cross multiply
    33,241.86x = 49,872.02 × 18,461.16
  4. Step 4: Simplify right side
    33,241.86x = 920,695,340.74
  5. Step 5: Solve for x
    x = 920,695,340.74/33,241.86
  6. Step 6: Final answer
    x = 27,696.87

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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.