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Finding the Fourth Proportional to 68,135.40, 102,203.10 and 21,388.20

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Solution

The fourth proportional to 68,135.40, 102,203.10 and 21,388.20 is: 32,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,135.40 : 102,203.10 = 21,388.20 : x
  2. Step 2: Convert to fraction form
    68,135.40/102,203.10 = 21,388.20/x
  3. Step 3: Cross multiply
    68,135.40x = 102,203.10 × 21,388.20
  4. Step 4: Simplify right side
    68,135.40x = 2,185,940,343.42
  5. Step 5: Solve for x
    x = 2,185,940,343.42/68,135.40
  6. Step 6: Final answer
    x = 32,082.30

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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.