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Finding the Fourth Proportional to 37,804.50, 52,170.24 and 21,889.80

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Solution

The fourth proportional to 37,804.50, 52,170.24 and 21,889.80 is: 30,207.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,804.50 : 52,170.24 = 21,889.80 : x
  2. Step 2: Convert to fraction form
    37,804.50/52,170.24 = 21,889.80/x
  3. Step 3: Cross multiply
    37,804.50x = 52,170.24 × 21,889.80
  4. Step 4: Simplify right side
    37,804.50x = 1,141,996,119.55
  5. Step 5: Solve for x
    x = 1,141,996,119.55/37,804.50
  6. Step 6: Final answer
    x = 30,207.94

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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.