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Finding the Fourth Proportional to 41,241.70, 61,862.00 and 10,077.22

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Solution

The fourth proportional to 41,241.70, 61,862.00 and 10,077.22 is: 15,115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,241.70 : 61,862.00 = 10,077.22 : x
  2. Step 2: Convert to fraction form
    41,241.70/61,862.00 = 10,077.22/x
  3. Step 3: Cross multiply
    41,241.70x = 61,862.00 × 10,077.22
  4. Step 4: Simplify right side
    41,241.70x = 623,396,854.18
  5. Step 5: Solve for x
    x = 623,396,854.18/41,241.70
  6. Step 6: Final answer
    x = 15,115.69

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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.