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Finding the Fourth Proportional to 67,112.62, 100,688.37 and 27,649.42

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Solution

The fourth proportional to 67,112.62, 100,688.37 and 27,649.42 is: 41,482.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,112.62 : 100,688.37 = 27,649.42 : x
  2. Step 2: Convert to fraction form
    67,112.62/100,688.37 = 27,649.42/x
  3. Step 3: Cross multiply
    67,112.62x = 100,688.37 × 27,649.42
  4. Step 4: Simplify right side
    67,112.62x = 2,783,975,031.25
  5. Step 5: Solve for x
    x = 2,783,975,031.25/67,112.62
  6. Step 6: Final answer
    x = 41,482.14

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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.