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Finding the Fourth Proportional to 67,194.34, 100,771.01 and 22,811.23

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Solution

The fourth proportional to 67,194.34, 100,771.01 and 22,811.23 is: 34,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,194.34 : 100,771.01 = 22,811.23 : x
  2. Step 2: Convert to fraction form
    67,194.34/100,771.01 = 22,811.23/x
  3. Step 3: Cross multiply
    67,194.34x = 100,771.01 × 22,811.23
  4. Step 4: Simplify right side
    67,194.34x = 2,298,710,686.44
  5. Step 5: Solve for x
    x = 2,298,710,686.44/67,194.34
  6. Step 6: Final answer
    x = 34,209.89

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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.