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Finding the Fourth Proportional to 51,872.60, 77,847.30 and 20,730.20

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Solution

The fourth proportional to 51,872.60, 77,847.30 and 20,730.20 is: 31,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,872.60 : 77,847.30 = 20,730.20 : x
  2. Step 2: Convert to fraction form
    51,872.60/77,847.30 = 20,730.20/x
  3. Step 3: Cross multiply
    51,872.60x = 77,847.30 × 20,730.20
  4. Step 4: Simplify right side
    51,872.60x = 1,613,790,098.46
  5. Step 5: Solve for x
    x = 1,613,790,098.46/51,872.60
  6. Step 6: Final answer
    x = 31,110.65

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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.