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Finding the Fourth Proportional to 32,638.12, 48,957.21 and 8,945.86

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Solution

The fourth proportional to 32,638.12, 48,957.21 and 8,945.86 is: 13,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,638.12 : 48,957.21 = 8,945.86 : x
  2. Step 2: Convert to fraction form
    32,638.12/48,957.21 = 8,945.86/x
  3. Step 3: Cross multiply
    32,638.12x = 48,957.21 × 8,945.86
  4. Step 4: Simplify right side
    32,638.12x = 437,964,346.65
  5. Step 5: Solve for x
    x = 437,964,346.65/32,638.12
  6. Step 6: Final answer
    x = 13,418.80

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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.