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Finding the Fourth Proportional to 37,098.62, 51,197.05 and 22,766.37

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Solution

The fourth proportional to 37,098.62, 51,197.05 and 22,766.37 is: 31,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,098.62 : 51,197.05 = 22,766.37 : x
  2. Step 2: Convert to fraction form
    37,098.62/51,197.05 = 22,766.37/x
  3. Step 3: Cross multiply
    37,098.62x = 51,197.05 × 22,766.37
  4. Step 4: Simplify right side
    37,098.62x = 1,165,571,011.67
  5. Step 5: Solve for x
    x = 1,165,571,011.67/37,098.62
  6. Step 6: Final answer
    x = 31,418.17

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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.