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Finding the Fourth Proportional to 37,490.50, 51,738.02 and 20,494.36

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Solution

The fourth proportional to 37,490.50, 51,738.02 and 20,494.36 is: 28,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,490.50 : 51,738.02 = 20,494.36 : x
  2. Step 2: Convert to fraction form
    37,490.50/51,738.02 = 20,494.36/x
  3. Step 3: Cross multiply
    37,490.50x = 51,738.02 × 20,494.36
  4. Step 4: Simplify right side
    37,490.50x = 1,060,337,607.57
  5. Step 5: Solve for x
    x = 1,060,337,607.57/37,490.50
  6. Step 6: Final answer
    x = 28,282.83

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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.