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Finding the Fourth Proportional to 33,216.47, 49,816.19 and 9,837.44

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Solution

The fourth proportional to 33,216.47, 49,816.19 and 9,837.44 is: 14,753.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,216.47 : 49,816.19 = 9,837.44 : x
  2. Step 2: Convert to fraction form
    33,216.47/49,816.19 = 9,837.44/x
  3. Step 3: Cross multiply
    33,216.47x = 49,816.19 × 9,837.44
  4. Step 4: Simplify right side
    33,216.47x = 490,063,780.15
  5. Step 5: Solve for x
    x = 490,063,780.15/33,216.47
  6. Step 6: Final answer
    x = 14,753.64

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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.