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Finding the Fourth Proportional to 81,942.15, 122,872.06 and 47,758.93

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Solution

The fourth proportional to 81,942.15, 122,872.06 and 47,758.93 is: 71,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,942.15 : 122,872.06 = 47,758.93 : x
  2. Step 2: Convert to fraction form
    81,942.15/122,872.06 = 47,758.93/x
  3. Step 3: Cross multiply
    81,942.15x = 122,872.06 × 47,758.93
  4. Step 4: Simplify right side
    81,942.15x = 5,868,238,112.50
  5. Step 5: Solve for x
    x = 5,868,238,112.50/81,942.15
  6. Step 6: Final answer
    x = 71,614.40

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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.