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Finding the Fourth Proportional to 85,309.66, 127,844.20 and 40,282.98

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Solution

The fourth proportional to 85,309.66, 127,844.20 and 40,282.98 is: 60,367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,309.66 : 127,844.20 = 40,282.98 : x
  2. Step 2: Convert to fraction form
    85,309.66/127,844.20 = 40,282.98/x
  3. Step 3: Cross multiply
    85,309.66x = 127,844.20 × 40,282.98
  4. Step 4: Simplify right side
    85,309.66x = 5,149,945,351.72
  5. Step 5: Solve for x
    x = 5,149,945,351.72/85,309.66
  6. Step 6: Final answer
    x = 60,367.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.