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Finding the Fourth Proportional to 32,196.96, 48,295.44 and 8,823.20

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Solution

The fourth proportional to 32,196.96, 48,295.44 and 8,823.20 is: 13,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,196.96 : 48,295.44 = 8,823.20 : x
  2. Step 2: Convert to fraction form
    32,196.96/48,295.44 = 8,823.20/x
  3. Step 3: Cross multiply
    32,196.96x = 48,295.44 × 8,823.20
  4. Step 4: Simplify right side
    32,196.96x = 426,120,326.21
  5. Step 5: Solve for x
    x = 426,120,326.21/32,196.96
  6. Step 6: Final answer
    x = 13,234.80

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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.