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Finding the Fourth Proportional to 62,105.75, 85,706.14 and 33,811.64

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Solution

The fourth proportional to 62,105.75, 85,706.14 and 33,811.64 is: 46,660.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,105.75 : 85,706.14 = 33,811.64 : x
  2. Step 2: Convert to fraction form
    62,105.75/85,706.14 = 33,811.64/x
  3. Step 3: Cross multiply
    62,105.75x = 85,706.14 × 33,811.64
  4. Step 4: Simplify right side
    62,105.75x = 2,897,865,151.47
  5. Step 5: Solve for x
    x = 2,897,865,151.47/62,105.75
  6. Step 6: Final answer
    x = 46,660.17

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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.