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Finding the Fourth Proportional to 32,464.80, 48,613.50 and 27,814.86

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Solution

The fourth proportional to 32,464.80, 48,613.50 and 27,814.86 is: 41,650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,464.80 : 48,613.50 = 27,814.86 : x
  2. Step 2: Convert to fraction form
    32,464.80/48,613.50 = 27,814.86/x
  3. Step 3: Cross multiply
    32,464.80x = 48,613.50 × 27,814.86
  4. Step 4: Simplify right side
    32,464.80x = 1,352,177,696.61
  5. Step 5: Solve for x
    x = 1,352,177,696.61/32,464.80
  6. Step 6: Final answer
    x = 41,650.58

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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.