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Finding the Fourth Proportional to 68,066.78, 102,072.20 and 25,962.17

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Solution

The fourth proportional to 68,066.78, 102,072.20 and 25,962.17 is: 38,932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,066.78 : 102,072.20 = 25,962.17 : x
  2. Step 2: Convert to fraction form
    68,066.78/102,072.20 = 25,962.17/x
  3. Step 3: Cross multiply
    68,066.78x = 102,072.20 × 25,962.17
  4. Step 4: Simplify right side
    68,066.78x = 2,650,015,168.50
  5. Step 5: Solve for x
    x = 2,650,015,168.50/68,066.78
  6. Step 6: Final answer
    x = 38,932.58

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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.