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Finding the Fourth Proportional to 32,889.87, 49,337.92 and 9,197.41

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Solution

The fourth proportional to 32,889.87, 49,337.92 and 9,197.41 is: 13,796.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,889.87 : 49,337.92 = 9,197.41 : x
  2. Step 2: Convert to fraction form
    32,889.87/49,337.92 = 9,197.41/x
  3. Step 3: Cross multiply
    32,889.87x = 49,337.92 × 9,197.41
  4. Step 4: Simplify right side
    32,889.87x = 453,781,078.79
  5. Step 5: Solve for x
    x = 453,781,078.79/32,889.87
  6. Step 6: Final answer
    x = 13,796.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.