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Finding the Fourth Proportional to 33,215.47, 49,814.69 and 9,836.44

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Solution

The fourth proportional to 33,215.47, 49,814.69 and 9,836.44 is: 14,752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,215.47 : 49,814.69 = 9,836.44 : x
  2. Step 2: Convert to fraction form
    33,215.47/49,814.69 = 9,836.44/x
  3. Step 3: Cross multiply
    33,215.47x = 49,814.69 × 9,836.44
  4. Step 4: Simplify right side
    33,215.47x = 489,999,109.36
  5. Step 5: Solve for x
    x = 489,999,109.36/33,215.47
  6. Step 6: Final answer
    x = 14,752.14

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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.