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Finding the Fourth Proportional to 32,456.34, 48,691.55 and 9,967.09

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Solution

The fourth proportional to 32,456.34, 48,691.55 and 9,967.09 is: 14,952.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,456.34 : 48,691.55 = 9,967.09 : x
  2. Step 2: Convert to fraction form
    32,456.34/48,691.55 = 9,967.09/x
  3. Step 3: Cross multiply
    32,456.34x = 48,691.55 × 9,967.09
  4. Step 4: Simplify right side
    32,456.34x = 485,313,061.09
  5. Step 5: Solve for x
    x = 485,313,061.09/32,456.34
  6. Step 6: Final answer
    x = 14,952.80

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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.