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Finding the Fourth Proportional to 32,371.80, 48,564.63 and 18,338.46

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Solution

The fourth proportional to 32,371.80, 48,564.63 and 18,338.46 is: 27,511.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,371.80 : 48,564.63 = 18,338.46 : x
  2. Step 2: Convert to fraction form
    32,371.80/48,564.63 = 18,338.46/x
  3. Step 3: Cross multiply
    32,371.80x = 48,564.63 × 18,338.46
  4. Step 4: Simplify right side
    32,371.80x = 890,600,524.67
  5. Step 5: Solve for x
    x = 890,600,524.67/32,371.80
  6. Step 6: Final answer
    x = 27,511.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.