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Finding the Fourth Proportional to 33,214.08, 49,821 and 9,838.68

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Solution

The fourth proportional to 33,214.08, 49,821 and 9,838.68 is: 14,757.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,214.08 : 49,821 = 9,838.68 : x
  2. Step 2: Convert to fraction form
    33,214.08/49,821 = 9,838.68/x
  3. Step 3: Cross multiply
    33,214.08x = 49,821 × 9,838.68
  4. Step 4: Simplify right side
    33,214.08x = 490,172,876.28
  5. Step 5: Solve for x
    x = 490,172,876.28/33,214.08
  6. Step 6: Final answer
    x = 14,757.98

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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.