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Finding the Fourth Proportional to 81,794.34, 122,668.83 and 22,625.46

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Solution

The fourth proportional to 81,794.34, 122,668.83 and 22,625.46 is: 33,931.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,794.34 : 122,668.83 = 22,625.46 : x
  2. Step 2: Convert to fraction form
    81,794.34/122,668.83 = 22,625.46/x
  3. Step 3: Cross multiply
    81,794.34x = 122,668.83 × 22,625.46
  4. Step 4: Simplify right side
    81,794.34x = 2,775,438,706.41
  5. Step 5: Solve for x
    x = 2,775,438,706.41/81,794.34
  6. Step 6: Final answer
    x = 33,931.92

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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.