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Finding the Fourth Proportional to 68,460.12, 102,693.78 and 21,716.64

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Solution

The fourth proportional to 68,460.12, 102,693.78 and 21,716.64 is: 32,576.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,460.12 : 102,693.78 = 21,716.64 : x
  2. Step 2: Convert to fraction form
    68,460.12/102,693.78 = 21,716.64/x
  3. Step 3: Cross multiply
    68,460.12x = 102,693.78 × 21,716.64
  4. Step 4: Simplify right side
    68,460.12x = 2,230,163,850.50
  5. Step 5: Solve for x
    x = 2,230,163,850.50/68,460.12
  6. Step 6: Final answer
    x = 32,576.10

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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.