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Finding the Fourth Proportional to 32,166.34, 48,247.68 and 9,676.54

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Solution

The fourth proportional to 32,166.34, 48,247.68 and 9,676.54 is: 14,514.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,166.34 : 48,247.68 = 9,676.54 : x
  2. Step 2: Convert to fraction form
    32,166.34/48,247.68 = 9,676.54/x
  3. Step 3: Cross multiply
    32,166.34x = 48,247.68 × 9,676.54
  4. Step 4: Simplify right side
    32,166.34x = 466,870,605.43
  5. Step 5: Solve for x
    x = 466,870,605.43/32,166.34
  6. Step 6: Final answer
    x = 14,514.26

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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.