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Finding the Fourth Proportional to 32,773.24, 49,159.80 and 8,149.24

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Solution

The fourth proportional to 32,773.24, 49,159.80 and 8,149.24 is: 12,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,773.24 : 49,159.80 = 8,149.24 : x
  2. Step 2: Convert to fraction form
    32,773.24/49,159.80 = 8,149.24/x
  3. Step 3: Cross multiply
    32,773.24x = 49,159.80 × 8,149.24
  4. Step 4: Simplify right side
    32,773.24x = 400,615,008.55
  5. Step 5: Solve for x
    x = 400,615,008.55/32,773.24
  6. Step 6: Final answer
    x = 12,223.85

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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.