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Finding the Fourth Proportional to 68,102.58, 102,086.08 and 32,522.30

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Solution

The fourth proportional to 68,102.58, 102,086.08 and 32,522.30 is: 48,751.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,102.58 : 102,086.08 = 32,522.30 : x
  2. Step 2: Convert to fraction form
    68,102.58/102,086.08 = 32,522.30/x
  3. Step 3: Cross multiply
    68,102.58x = 102,086.08 × 32,522.30
  4. Step 4: Simplify right side
    68,102.58x = 3,320,074,667.84
  5. Step 5: Solve for x
    x = 3,320,074,667.84/68,102.58
  6. Step 6: Final answer
    x = 48,751.09

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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.