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Finding the Fourth Proportional to 33,032.74, 49,550.74 and 13,308.64

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Solution

The fourth proportional to 33,032.74, 49,550.74 and 13,308.64 is: 19,963.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,032.74 : 49,550.74 = 13,308.64 : x
  2. Step 2: Convert to fraction form
    33,032.74/49,550.74 = 13,308.64/x
  3. Step 3: Cross multiply
    33,032.74x = 49,550.74 × 13,308.64
  4. Step 4: Simplify right side
    33,032.74x = 659,452,960.39
  5. Step 5: Solve for x
    x = 659,452,960.39/33,032.74
  6. Step 6: Final answer
    x = 19,963.62

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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.