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Finding the Fourth Proportional to 32,164.39, 48,234.66 and 11,098.99

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Solution

The fourth proportional to 32,164.39, 48,234.66 and 11,098.99 is: 16,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,164.39 : 48,234.66 = 11,098.99 : x
  2. Step 2: Convert to fraction form
    32,164.39/48,234.66 = 11,098.99/x
  3. Step 3: Cross multiply
    32,164.39x = 48,234.66 × 11,098.99
  4. Step 4: Simplify right side
    32,164.39x = 535,356,008.99
  5. Step 5: Solve for x
    x = 535,356,008.99/32,164.39
  6. Step 6: Final answer
    x = 16,644.37

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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.