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Finding the Fourth Proportional to 62,178.92, 85,806.78 and 33,884.54

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Solution

The fourth proportional to 62,178.92, 85,806.78 and 33,884.54 is: 46,760.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,178.92 : 85,806.78 = 33,884.54 : x
  2. Step 2: Convert to fraction form
    62,178.92/85,806.78 = 33,884.54/x
  3. Step 3: Cross multiply
    62,178.92x = 85,806.78 × 33,884.54
  4. Step 4: Simplify right side
    62,178.92x = 2,907,523,269.18
  5. Step 5: Solve for x
    x = 2,907,523,269.18/62,178.92
  6. Step 6: Final answer
    x = 46,760.59

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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.