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Finding the Fourth Proportional to 32,461.46, 48,716.82 and 21,906.50

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Solution

The fourth proportional to 32,461.46, 48,716.82 and 21,906.50 is: 32,876.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,461.46 : 48,716.82 = 21,906.50 : x
  2. Step 2: Convert to fraction form
    32,461.46/48,716.82 = 21,906.50/x
  3. Step 3: Cross multiply
    32,461.46x = 48,716.82 × 21,906.50
  4. Step 4: Simplify right side
    32,461.46x = 1,067,215,017.33
  5. Step 5: Solve for x
    x = 1,067,215,017.33/32,461.46
  6. Step 6: Final answer
    x = 32,876.37

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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.