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Finding the Fourth Proportional to 72,197.65, 108,193.79 and 34,206.42

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Solution

The fourth proportional to 72,197.65, 108,193.79 and 34,206.42 is: 51,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,197.65 : 108,193.79 = 34,206.42 : x
  2. Step 2: Convert to fraction form
    72,197.65/108,193.79 = 34,206.42/x
  3. Step 3: Cross multiply
    72,197.65x = 108,193.79 × 34,206.42
  4. Step 4: Simplify right side
    72,197.65x = 3,700,922,104.78
  5. Step 5: Solve for x
    x = 3,700,922,104.78/72,197.65
  6. Step 6: Final answer
    x = 51,260.98

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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.