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Finding the Fourth Proportional to 41,174.87, 61,734.35 and 13,086.50

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Solution

The fourth proportional to 41,174.87, 61,734.35 and 13,086.50 is: 19,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,174.87 : 61,734.35 = 13,086.50 : x
  2. Step 2: Convert to fraction form
    41,174.87/61,734.35 = 13,086.50/x
  3. Step 3: Cross multiply
    41,174.87x = 61,734.35 × 13,086.50
  4. Step 4: Simplify right side
    41,174.87x = 807,886,295.32
  5. Step 5: Solve for x
    x = 807,886,295.32/41,174.87
  6. Step 6: Final answer
    x = 19,620.86

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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.