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Finding the Fourth Proportional to 32,227.02, 48,354.39 and 17,446.50

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Solution

The fourth proportional to 32,227.02, 48,354.39 and 17,446.50 is: 26,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,227.02 : 48,354.39 = 17,446.50 : x
  2. Step 2: Convert to fraction form
    32,227.02/48,354.39 = 17,446.50/x
  3. Step 3: Cross multiply
    32,227.02x = 48,354.39 × 17,446.50
  4. Step 4: Simplify right side
    32,227.02x = 843,614,865.14
  5. Step 5: Solve for x
    x = 843,614,865.14/32,227.02
  6. Step 6: Final answer
    x = 26,177.25

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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.