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Finding the Fourth Proportional to 32,355.82, 48,537.08 and 8,982.27

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Solution

The fourth proportional to 32,355.82, 48,537.08 and 8,982.27 is: 13,474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,355.82 : 48,537.08 = 8,982.27 : x
  2. Step 2: Convert to fraction form
    32,355.82/48,537.08 = 8,982.27/x
  3. Step 3: Cross multiply
    32,355.82x = 48,537.08 × 8,982.27
  4. Step 4: Simplify right side
    32,355.82x = 435,972,869.97
  5. Step 5: Solve for x
    x = 435,972,869.97/32,355.82
  6. Step 6: Final answer
    x = 13,474.33

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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.