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Finding the Fourth Proportional to 68,110.16, 102,186.12 and 34,853.88

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Solution

The fourth proportional to 68,110.16, 102,186.12 and 34,853.88 is: 52,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,110.16 : 102,186.12 = 34,853.88 : x
  2. Step 2: Convert to fraction form
    68,110.16/102,186.12 = 34,853.88/x
  3. Step 3: Cross multiply
    68,110.16x = 102,186.12 × 34,853.88
  4. Step 4: Simplify right side
    68,110.16x = 3,561,582,764.15
  5. Step 5: Solve for x
    x = 3,561,582,764.15/68,110.16
  6. Step 6: Final answer
    x = 52,291.50

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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.