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Finding the Fourth Proportional to 62,206.78, 85,845.16 and 33,912.48

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Solution

The fourth proportional to 62,206.78, 85,845.16 and 33,912.48 is: 46,799.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,206.78 : 85,845.16 = 33,912.48 : x
  2. Step 2: Convert to fraction form
    62,206.78/85,845.16 = 33,912.48/x
  3. Step 3: Cross multiply
    62,206.78x = 85,845.16 × 33,912.48
  4. Step 4: Simplify right side
    62,206.78x = 2,911,222,271.60
  5. Step 5: Solve for x
    x = 2,911,222,271.60/62,206.78
  6. Step 6: Final answer
    x = 46,799.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.