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Finding the Fourth Proportional to 68,027.71, 102,041.78 and 20,643.20

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Solution

The fourth proportional to 68,027.71, 102,041.78 and 20,643.20 is: 30,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,027.71 : 102,041.78 = 20,643.20 : x
  2. Step 2: Convert to fraction form
    68,027.71/102,041.78 = 20,643.20/x
  3. Step 3: Cross multiply
    68,027.71x = 102,041.78 × 20,643.20
  4. Step 4: Simplify right side
    68,027.71x = 2,106,468,872.90
  5. Step 5: Solve for x
    x = 2,106,468,872.90/68,027.71
  6. Step 6: Final answer
    x = 30,964.87

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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.