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Finding the Fourth Proportional to 68,257.33, 102,432.11 and 23,884.47

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Solution

The fourth proportional to 68,257.33, 102,432.11 and 23,884.47 is: 35,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,257.33 : 102,432.11 = 23,884.47 : x
  2. Step 2: Convert to fraction form
    68,257.33/102,432.11 = 23,884.47/x
  3. Step 3: Cross multiply
    68,257.33x = 102,432.11 × 23,884.47
  4. Step 4: Simplify right side
    68,257.33x = 2,446,536,673.26
  5. Step 5: Solve for x
    x = 2,446,536,673.26/68,257.33
  6. Step 6: Final answer
    x = 35,842.84

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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.