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Finding the Fourth Proportional to 33,220.76, 49,850.78 and 13,497.80

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Solution

The fourth proportional to 33,220.76, 49,850.78 and 13,497.80 is: 20,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,220.76 : 49,850.78 = 13,497.80 : x
  2. Step 2: Convert to fraction form
    33,220.76/49,850.78 = 13,497.80/x
  3. Step 3: Cross multiply
    33,220.76x = 49,850.78 × 13,497.80
  4. Step 4: Simplify right side
    33,220.76x = 672,875,858.28
  5. Step 5: Solve for x
    x = 672,875,858.28/33,220.76
  6. Step 6: Final answer
    x = 20,254.68

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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.