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Finding the Fourth Proportional to 68,095.32, 102,142.65 and 17,494.31

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Solution

The fourth proportional to 68,095.32, 102,142.65 and 17,494.31 is: 26,241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,095.32 : 102,142.65 = 17,494.31 : x
  2. Step 2: Convert to fraction form
    68,095.32/102,142.65 = 17,494.31/x
  3. Step 3: Cross multiply
    68,095.32x = 102,142.65 × 17,494.31
  4. Step 4: Simplify right side
    68,095.32x = 1,786,914,672.61
  5. Step 5: Solve for x
    x = 1,786,914,672.61/68,095.32
  6. Step 6: Final answer
    x = 26,241.37

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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.