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Finding the Fourth Proportional to 66,748.58, 100,126.20 and 19,997

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Solution

The fourth proportional to 66,748.58, 100,126.20 and 19,997 is: 29,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,748.58 : 100,126.20 = 19,997 : x
  2. Step 2: Convert to fraction form
    66,748.58/100,126.20 = 19,997/x
  3. Step 3: Cross multiply
    66,748.58x = 100,126.20 × 19,997
  4. Step 4: Simplify right side
    66,748.58x = 2,002,223,621.40
  5. Step 5: Solve for x
    x = 2,002,223,621.40/66,748.58
  6. Step 6: Final answer
    x = 29,996.50

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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.