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Finding the Fourth Proportional to 37,583.46, 51,865.11 and 20,816.46

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Solution

The fourth proportional to 37,583.46, 51,865.11 and 20,816.46 is: 28,726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,583.46 : 51,865.11 = 20,816.46 : x
  2. Step 2: Convert to fraction form
    37,583.46/51,865.11 = 20,816.46/x
  3. Step 3: Cross multiply
    37,583.46x = 51,865.11 × 20,816.46
  4. Step 4: Simplify right side
    37,583.46x = 1,079,647,987.71
  5. Step 5: Solve for x
    x = 1,079,647,987.71/37,583.46
  6. Step 6: Final answer
    x = 28,726.68

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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.