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Finding the Fourth Proportional to 32,219.83, 48,331.91 and 11,161.99

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Solution

The fourth proportional to 32,219.83, 48,331.91 and 11,161.99 is: 16,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,219.83 : 48,331.91 = 11,161.99 : x
  2. Step 2: Convert to fraction form
    32,219.83/48,331.91 = 11,161.99/x
  3. Step 3: Cross multiply
    32,219.83x = 48,331.91 × 11,161.99
  4. Step 4: Simplify right side
    32,219.83x = 539,480,296.10
  5. Step 5: Solve for x
    x = 539,480,296.10/32,219.83
  6. Step 6: Final answer
    x = 16,743.74

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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.