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Finding the Fourth Proportional to 41,616.72, 62,411.32 and 20,826

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Solution

The fourth proportional to 41,616.72, 62,411.32 and 20,826 is: 31,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,616.72 : 62,411.32 = 20,826 : x
  2. Step 2: Convert to fraction form
    41,616.72/62,411.32 = 20,826/x
  3. Step 3: Cross multiply
    41,616.72x = 62,411.32 × 20,826
  4. Step 4: Simplify right side
    41,616.72x = 1,299,778,150.32
  5. Step 5: Solve for x
    x = 1,299,778,150.32/41,616.72
  6. Step 6: Final answer
    x = 31,232.11

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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.