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Finding the Fourth Proportional to 68,096, 102,068.24 and 51,401.88

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Solution

The fourth proportional to 68,096, 102,068.24 and 51,401.88 is: 77,045.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,096 : 102,068.24 = 51,401.88 : x
  2. Step 2: Convert to fraction form
    68,096/102,068.24 = 51,401.88/x
  3. Step 3: Cross multiply
    68,096x = 102,068.24 × 51,401.88
  4. Step 4: Simplify right side
    68,096x = 5,246,499,424.29
  5. Step 5: Solve for x
    x = 5,246,499,424.29/68,096
  6. Step 6: Final answer
    x = 77,045.63

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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.