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Finding the Fourth Proportional to 114,337, 171,517.38 and 31,231

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Solution

The fourth proportional to 114,337, 171,517.38 and 31,231 is: 46,849.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,337 : 171,517.38 = 31,231 : x
  2. Step 2: Convert to fraction form
    114,337/171,517.38 = 31,231/x
  3. Step 3: Cross multiply
    114,337x = 171,517.38 × 31,231
  4. Step 4: Simplify right side
    114,337x = 5,356,659,294.78
  5. Step 5: Solve for x
    x = 5,356,659,294.78/114,337
  6. Step 6: Final answer
    x = 46,849.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.