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Finding the Fourth Proportional to 41,101.50, 61,661.97 and 13,399.50

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Solution

The fourth proportional to 41,101.50, 61,661.97 and 13,399.50 is: 20,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,101.50 : 61,661.97 = 13,399.50 : x
  2. Step 2: Convert to fraction form
    41,101.50/61,661.97 = 13,399.50/x
  3. Step 3: Cross multiply
    41,101.50x = 61,661.97 × 13,399.50
  4. Step 4: Simplify right side
    41,101.50x = 826,239,567.02
  5. Step 5: Solve for x
    x = 826,239,567.02/41,101.50
  6. Step 6: Final answer
    x = 20,102.42

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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.