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Finding the Fourth Proportional to 37,847.84, 52,227.50 and 22,731.52

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Solution

The fourth proportional to 37,847.84, 52,227.50 and 22,731.52 is: 31,367.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,847.84 : 52,227.50 = 22,731.52 : x
  2. Step 2: Convert to fraction form
    37,847.84/52,227.50 = 22,731.52/x
  3. Step 3: Cross multiply
    37,847.84x = 52,227.50 × 22,731.52
  4. Step 4: Simplify right side
    37,847.84x = 1,187,210,460.80
  5. Step 5: Solve for x
    x = 1,187,210,460.80/37,847.84
  6. Step 6: Final answer
    x = 31,367.98

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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.