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Finding the Fourth Proportional to 85,358.50, 127,974.36 and 40,942.96

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Solution

The fourth proportional to 85,358.50, 127,974.36 and 40,942.96 is: 61,384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,358.50 : 127,974.36 = 40,942.96 : x
  2. Step 2: Convert to fraction form
    85,358.50/127,974.36 = 40,942.96/x
  3. Step 3: Cross multiply
    85,358.50x = 127,974.36 × 40,942.96
  4. Step 4: Simplify right side
    85,358.50x = 5,239,649,102.51
  5. Step 5: Solve for x
    x = 5,239,649,102.51/85,358.50
  6. Step 6: Final answer
    x = 61,384.03

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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.