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Finding the Fourth Proportional to 41,177.74, 61,769.75 and 13,099.30

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Solution

The fourth proportional to 41,177.74, 61,769.75 and 13,099.30 is: 19,649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,177.74 : 61,769.75 = 13,099.30 : x
  2. Step 2: Convert to fraction form
    41,177.74/61,769.75 = 13,099.30/x
  3. Step 3: Cross multiply
    41,177.74x = 61,769.75 × 13,099.30
  4. Step 4: Simplify right side
    41,177.74x = 809,140,486.18
  5. Step 5: Solve for x
    x = 809,140,486.18/41,177.74
  6. Step 6: Final answer
    x = 19,649.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.