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Finding the Fourth Proportional to 33,197.10, 49,761.88 and 13,220.74

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Solution

The fourth proportional to 33,197.10, 49,761.88 and 13,220.74 is: 19,817.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,197.10 : 49,761.88 = 13,220.74 : x
  2. Step 2: Convert to fraction form
    33,197.10/49,761.88 = 13,220.74/x
  3. Step 3: Cross multiply
    33,197.10x = 49,761.88 × 13,220.74
  4. Step 4: Simplify right side
    33,197.10x = 657,888,877.39
  5. Step 5: Solve for x
    x = 657,888,877.39/33,197.10
  6. Step 6: Final answer
    x = 19,817.66

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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.