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Finding the Fourth Proportional to 37,627.50, 51,934.05 and 22,523.54

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Solution

The fourth proportional to 37,627.50, 51,934.05 and 22,523.54 is: 31,087.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,627.50 : 51,934.05 = 22,523.54 : x
  2. Step 2: Convert to fraction form
    37,627.50/51,934.05 = 22,523.54/x
  3. Step 3: Cross multiply
    37,627.50x = 51,934.05 × 22,523.54
  4. Step 4: Simplify right side
    37,627.50x = 1,169,738,652.54
  5. Step 5: Solve for x
    x = 1,169,738,652.54/37,627.50
  6. Step 6: Final answer
    x = 31,087.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.