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Finding the Fourth Proportional to 81,696.48, 122,529.98 and 22,517.46

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Solution

The fourth proportional to 81,696.48, 122,529.98 and 22,517.46 is: 33,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,696.48 : 122,529.98 = 22,517.46 : x
  2. Step 2: Convert to fraction form
    81,696.48/122,529.98 = 22,517.46/x
  3. Step 3: Cross multiply
    81,696.48x = 122,529.98 × 22,517.46
  4. Step 4: Simplify right side
    81,696.48x = 2,759,063,923.45
  5. Step 5: Solve for x
    x = 2,759,063,923.45/81,696.48
  6. Step 6: Final answer
    x = 33,772.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.