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Finding the Fourth Proportional to 37,697.62, 51,977 and 32,583.92

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Solution

The fourth proportional to 37,697.62, 51,977 and 32,583.92 is: 44,926.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,697.62 : 51,977 = 32,583.92 : x
  2. Step 2: Convert to fraction form
    37,697.62/51,977 = 32,583.92/x
  3. Step 3: Cross multiply
    37,697.62x = 51,977 × 32,583.92
  4. Step 4: Simplify right side
    37,697.62x = 1,693,614,409.84
  5. Step 5: Solve for x
    x = 1,693,614,409.84/37,697.62
  6. Step 6: Final answer
    x = 44,926.30

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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.