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Finding the Fourth Proportional to 41,102.27, 61,652.99 and 13,022.23

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Solution

The fourth proportional to 41,102.27, 61,652.99 and 13,022.23 is: 19,533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,102.27 : 61,652.99 = 13,022.23 : x
  2. Step 2: Convert to fraction form
    41,102.27/61,652.99 = 13,022.23/x
  3. Step 3: Cross multiply
    41,102.27x = 61,652.99 × 13,022.23
  4. Step 4: Simplify right side
    41,102.27x = 802,859,415.97
  5. Step 5: Solve for x
    x = 802,859,415.97/41,102.27
  6. Step 6: Final answer
    x = 19,533.21

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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.