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Finding the Fourth Proportional to 81,897.74, 122,847.30 and 22,738.02

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Solution

The fourth proportional to 81,897.74, 122,847.30 and 22,738.02 is: 34,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,897.74 : 122,847.30 = 22,738.02 : x
  2. Step 2: Convert to fraction form
    81,897.74/122,847.30 = 22,738.02/x
  3. Step 3: Cross multiply
    81,897.74x = 122,847.30 × 22,738.02
  4. Step 4: Simplify right side
    81,897.74x = 2,793,304,940.19
  5. Step 5: Solve for x
    x = 2,793,304,940.19/81,897.74
  6. Step 6: Final answer
    x = 34,107.23

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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.