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Finding the Fourth Proportional to 37,052.94, 51,025.24 and 32,205.50

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Solution

The fourth proportional to 37,052.94, 51,025.24 and 32,205.50 is: 44,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,052.94 : 51,025.24 = 32,205.50 : x
  2. Step 2: Convert to fraction form
    37,052.94/51,025.24 = 32,205.50/x
  3. Step 3: Cross multiply
    37,052.94x = 51,025.24 × 32,205.50
  4. Step 4: Simplify right side
    37,052.94x = 1,643,293,343.30
  5. Step 5: Solve for x
    x = 1,643,293,343.30/37,052.94
  6. Step 6: Final answer
    x = 44,349.87

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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.