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Finding the Fourth Proportional to 131,858.81, 197,773.68 and 37,092

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Solution

The fourth proportional to 131,858.81, 197,773.68 and 37,092 is: 55,633.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,858.81 : 197,773.68 = 37,092 : x
  2. Step 2: Convert to fraction form
    131,858.81/197,773.68 = 37,092/x
  3. Step 3: Cross multiply
    131,858.81x = 197,773.68 × 37,092
  4. Step 4: Simplify right side
    131,858.81x = 7,335,821,338.56
  5. Step 5: Solve for x
    x = 7,335,821,338.56/131,858.81
  6. Step 6: Final answer
    x = 55,633.91

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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.