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Finding the Fourth Proportional to 72,123.50, 108,199.20 and 22,194.74

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Solution

The fourth proportional to 72,123.50, 108,199.20 and 22,194.74 is: 33,296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,123.50 : 108,199.20 = 22,194.74 : x
  2. Step 2: Convert to fraction form
    72,123.50/108,199.20 = 22,194.74/x
  3. Step 3: Cross multiply
    72,123.50x = 108,199.20 × 22,194.74
  4. Step 4: Simplify right side
    72,123.50x = 2,401,453,112.21
  5. Step 5: Solve for x
    x = 2,401,453,112.21/72,123.50
  6. Step 6: Final answer
    x = 33,296.40

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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.