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Finding the Fourth Proportional to 68,054.30, 102,102.17 and 34,797.72

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Solution

The fourth proportional to 68,054.30, 102,102.17 and 34,797.72 is: 52,207.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,054.30 : 102,102.17 = 34,797.72 : x
  2. Step 2: Convert to fraction form
    68,054.30/102,102.17 = 34,797.72/x
  3. Step 3: Cross multiply
    68,054.30x = 102,102.17 × 34,797.72
  4. Step 4: Simplify right side
    68,054.30x = 3,552,922,723.05
  5. Step 5: Solve for x
    x = 3,552,922,723.05/68,054.30
  6. Step 6: Final answer
    x = 52,207.17

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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.