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Finding the Fourth Proportional to 85,202.46, 127,803.72 and 22,872.96

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Solution

The fourth proportional to 85,202.46, 127,803.72 and 22,872.96 is: 34,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,202.46 : 127,803.72 = 22,872.96 : x
  2. Step 2: Convert to fraction form
    85,202.46/127,803.72 = 22,872.96/x
  3. Step 3: Cross multiply
    85,202.46x = 127,803.72 × 22,872.96
  4. Step 4: Simplify right side
    85,202.46x = 2,923,249,375.41
  5. Step 5: Solve for x
    x = 2,923,249,375.41/85,202.46
  6. Step 6: Final answer
    x = 34,309.45

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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.