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Finding the Fourth Proportional to 33,243.70, 49,860 and 11,059.42

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Solution

The fourth proportional to 33,243.70, 49,860 and 11,059.42 is: 16,587.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,243.70 : 49,860 = 11,059.42 : x
  2. Step 2: Convert to fraction form
    33,243.70/49,860 = 11,059.42/x
  3. Step 3: Cross multiply
    33,243.70x = 49,860 × 11,059.42
  4. Step 4: Simplify right side
    33,243.70x = 551,422,681.20
  5. Step 5: Solve for x
    x = 551,422,681.20/33,243.70
  6. Step 6: Final answer
    x = 16,587.28

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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.