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Finding the Fourth Proportional to 41,309.96, 61,969.42 and 13,223.38

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Solution

The fourth proportional to 41,309.96, 61,969.42 and 13,223.38 is: 19,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,309.96 : 61,969.42 = 13,223.38 : x
  2. Step 2: Convert to fraction form
    41,309.96/61,969.42 = 13,223.38/x
  3. Step 3: Cross multiply
    41,309.96x = 61,969.42 × 13,223.38
  4. Step 4: Simplify right side
    41,309.96x = 819,445,189.04
  5. Step 5: Solve for x
    x = 819,445,189.04/41,309.96
  6. Step 6: Final answer
    x = 19,836.50

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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.