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Finding the Fourth Proportional to 32,069.81, 48,105.44 and 11,009.69

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Solution

The fourth proportional to 32,069.81, 48,105.44 and 11,009.69 is: 16,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,069.81 : 48,105.44 = 11,009.69 : x
  2. Step 2: Convert to fraction form
    32,069.81/48,105.44 = 11,009.69/x
  3. Step 3: Cross multiply
    32,069.81x = 48,105.44 × 11,009.69
  4. Step 4: Simplify right side
    32,069.81x = 529,625,926.67
  5. Step 5: Solve for x
    x = 529,625,926.67/32,069.81
  6. Step 6: Final answer
    x = 16,514.78

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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.