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Finding the Fourth Proportional to 66,742.45, 100,057.14 and 29,274.14

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Solution

The fourth proportional to 66,742.45, 100,057.14 and 29,274.14 is: 43,886.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,742.45 : 100,057.14 = 29,274.14 : x
  2. Step 2: Convert to fraction form
    66,742.45/100,057.14 = 29,274.14/x
  3. Step 3: Cross multiply
    66,742.45x = 100,057.14 × 29,274.14
  4. Step 4: Simplify right side
    66,742.45x = 2,929,086,974.50
  5. Step 5: Solve for x
    x = 2,929,086,974.50/66,742.45
  6. Step 6: Final answer
    x = 43,886.42

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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.