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Finding the Fourth Proportional to 33,214.30, 49,805.03 and 14,486.22

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Solution

The fourth proportional to 33,214.30, 49,805.03 and 14,486.22 is: 21,722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,214.30 : 49,805.03 = 14,486.22 : x
  2. Step 2: Convert to fraction form
    33,214.30/49,805.03 = 14,486.22/x
  3. Step 3: Cross multiply
    33,214.30x = 49,805.03 × 14,486.22
  4. Step 4: Simplify right side
    33,214.30x = 721,486,657.90
  5. Step 5: Solve for x
    x = 721,486,657.90/33,214.30
  6. Step 6: Final answer
    x = 21,722.17

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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.