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Finding the Fourth Proportional to 33,293.31, 49,924.32 and 12,218.66

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Solution

The fourth proportional to 33,293.31, 49,924.32 and 12,218.66 is: 18,322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,293.31 : 49,924.32 = 12,218.66 : x
  2. Step 2: Convert to fraction form
    33,293.31/49,924.32 = 12,218.66/x
  3. Step 3: Cross multiply
    33,293.31x = 49,924.32 × 12,218.66
  4. Step 4: Simplify right side
    33,293.31x = 610,008,291.81
  5. Step 5: Solve for x
    x = 610,008,291.81/33,293.31
  6. Step 6: Final answer
    x = 18,322.25

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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.