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Finding the Fourth Proportional to 115,198, 172,806.90 and 32,092

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Solution

The fourth proportional to 115,198, 172,806.90 and 32,092 is: 48,140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,198 : 172,806.90 = 32,092 : x
  2. Step 2: Convert to fraction form
    115,198/172,806.90 = 32,092/x
  3. Step 3: Cross multiply
    115,198x = 172,806.90 × 32,092
  4. Step 4: Simplify right side
    115,198x = 5,545,719,034.80
  5. Step 5: Solve for x
    x = 5,545,719,034.80/115,198
  6. Step 6: Final answer
    x = 48,140.76

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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.