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Finding the Fourth Proportional to 62,147.72, 85,764 and 33,852.80

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Solution

The fourth proportional to 62,147.72, 85,764 and 33,852.80 is: 46,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,147.72 : 85,764 = 33,852.80 : x
  2. Step 2: Convert to fraction form
    62,147.72/85,764 = 33,852.80/x
  3. Step 3: Cross multiply
    62,147.72x = 85,764 × 33,852.80
  4. Step 4: Simplify right side
    62,147.72x = 2,903,351,110.38
  5. Step 5: Solve for x
    x = 2,903,351,110.38/62,147.72
  6. Step 6: Final answer
    x = 46,716.94

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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.