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Finding the Fourth Proportional to 61,222.50, 91,833.75 and 24,286.50

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Solution

The fourth proportional to 61,222.50, 91,833.75 and 24,286.50 is: 36,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,222.50 : 91,833.75 = 24,286.50 : x
  2. Step 2: Convert to fraction form
    61,222.50/91,833.75 = 24,286.50/x
  3. Step 3: Cross multiply
    61,222.50x = 91,833.75 × 24,286.50
  4. Step 4: Simplify right side
    61,222.50x = 2,230,320,369.38
  5. Step 5: Solve for x
    x = 2,230,320,369.38/61,222.50
  6. Step 6: Final answer
    x = 36,429.75

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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.