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Finding the Fourth Proportional to 95,714.28, 143,637.12 and 33,384.78

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Solution

The fourth proportional to 95,714.28, 143,637.12 and 33,384.78 is: 50,100.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,714.28 : 143,637.12 = 33,384.78 : x
  2. Step 2: Convert to fraction form
    95,714.28/143,637.12 = 33,384.78/x
  3. Step 3: Cross multiply
    95,714.28x = 143,637.12 × 33,384.78
  4. Step 4: Simplify right side
    95,714.28x = 4,795,293,651.03
  5. Step 5: Solve for x
    x = 4,795,293,651.03/95,714.28
  6. Step 6: Final answer
    x = 50,100.09

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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.