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Finding the Fourth Proportional to 32,610.08, 48,885.78 and 11,819

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Solution

The fourth proportional to 32,610.08, 48,885.78 and 11,819 is: 17,717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,610.08 : 48,885.78 = 11,819 : x
  2. Step 2: Convert to fraction form
    32,610.08/48,885.78 = 11,819/x
  3. Step 3: Cross multiply
    32,610.08x = 48,885.78 × 11,819
  4. Step 4: Simplify right side
    32,610.08x = 577,781,033.82
  5. Step 5: Solve for x
    x = 577,781,033.82/32,610.08
  6. Step 6: Final answer
    x = 17,717.87

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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.