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Finding the Fourth Proportional to 32,362.85, 48,546.37 and 10,177.09

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Solution

The fourth proportional to 32,362.85, 48,546.37 and 10,177.09 is: 15,266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,362.85 : 48,546.37 = 10,177.09 : x
  2. Step 2: Convert to fraction form
    32,362.85/48,546.37 = 10,177.09/x
  3. Step 3: Cross multiply
    32,362.85x = 48,546.37 × 10,177.09
  4. Step 4: Simplify right side
    32,362.85x = 494,060,668.02
  5. Step 5: Solve for x
    x = 494,060,668.02/32,362.85
  6. Step 6: Final answer
    x = 15,266.29

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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.