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Finding the Fourth Proportional to 32,353.95, 48,542.61 and 11,297.09

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Solution

The fourth proportional to 32,353.95, 48,542.61 and 11,297.09 is: 16,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,353.95 : 48,542.61 = 11,297.09 : x
  2. Step 2: Convert to fraction form
    32,353.95/48,542.61 = 11,297.09/x
  3. Step 3: Cross multiply
    32,353.95x = 48,542.61 × 11,297.09
  4. Step 4: Simplify right side
    32,353.95x = 548,390,234.00
  5. Step 5: Solve for x
    x = 548,390,234.00/32,353.95
  6. Step 6: Final answer
    x = 16,949.72

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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.