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Finding the Fourth Proportional to 33,084.49, 49,620.17 and 16,210.27

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Solution

The fourth proportional to 33,084.49, 49,620.17 and 16,210.27 is: 24,312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,084.49 : 49,620.17 = 16,210.27 : x
  2. Step 2: Convert to fraction form
    33,084.49/49,620.17 = 16,210.27/x
  3. Step 3: Cross multiply
    33,084.49x = 49,620.17 × 16,210.27
  4. Step 4: Simplify right side
    33,084.49x = 804,356,353.15
  5. Step 5: Solve for x
    x = 804,356,353.15/33,084.49
  6. Step 6: Final answer
    x = 24,312.19

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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.