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Finding the Fourth Proportional to 41,745.84, 62,616.32 and 13,684.20

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Solution

The fourth proportional to 41,745.84, 62,616.32 and 13,684.20 is: 20,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,745.84 : 62,616.32 = 13,684.20 : x
  2. Step 2: Convert to fraction form
    41,745.84/62,616.32 = 13,684.20/x
  3. Step 3: Cross multiply
    41,745.84x = 62,616.32 × 13,684.20
  4. Step 4: Simplify right side
    41,745.84x = 856,854,246.14
  5. Step 5: Solve for x
    x = 856,854,246.14/41,745.84
  6. Step 6: Final answer
    x = 20,525.50

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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.