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Finding the Fourth Proportional to 41,476.50, 62,214.75 and 13,774.50

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Solution

The fourth proportional to 41,476.50, 62,214.75 and 13,774.50 is: 20,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,476.50 : 62,214.75 = 13,774.50 : x
  2. Step 2: Convert to fraction form
    41,476.50/62,214.75 = 13,774.50/x
  3. Step 3: Cross multiply
    41,476.50x = 62,214.75 × 13,774.50
  4. Step 4: Simplify right side
    41,476.50x = 856,977,073.88
  5. Step 5: Solve for x
    x = 856,977,073.88/41,476.50
  6. Step 6: Final answer
    x = 20,661.75

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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.