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Finding the Fourth Proportional to 55,461.34, 83,212.97 and 33,290.17

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Solution

The fourth proportional to 55,461.34, 83,212.97 and 33,290.17 is: 49,947.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,461.34 : 83,212.97 = 33,290.17 : x
  2. Step 2: Convert to fraction form
    55,461.34/83,212.97 = 33,290.17/x
  3. Step 3: Cross multiply
    55,461.34x = 83,212.97 × 33,290.17
  4. Step 4: Simplify right side
    55,461.34x = 2,770,174,198.35
  5. Step 5: Solve for x
    x = 2,770,174,198.35/55,461.34
  6. Step 6: Final answer
    x = 49,947.84

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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.