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Finding the Fourth Proportional to 33,647.84, 50,472.18 and 14,411

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Solution

The fourth proportional to 33,647.84, 50,472.18 and 14,411 is: 21,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,647.84 : 50,472.18 = 14,411 : x
  2. Step 2: Convert to fraction form
    33,647.84/50,472.18 = 14,411/x
  3. Step 3: Cross multiply
    33,647.84x = 50,472.18 × 14,411
  4. Step 4: Simplify right side
    33,647.84x = 727,354,585.98
  5. Step 5: Solve for x
    x = 727,354,585.98/33,647.84
  6. Step 6: Final answer
    x = 21,616.68

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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.