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Finding the Fourth Proportional to 73,196.96, 109,710.66 and 33,671.12

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Solution

The fourth proportional to 73,196.96, 109,710.66 and 33,671.12 is: 50,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,196.96 : 109,710.66 = 33,671.12 : x
  2. Step 2: Convert to fraction form
    73,196.96/109,710.66 = 33,671.12/x
  3. Step 3: Cross multiply
    73,196.96x = 109,710.66 × 33,671.12
  4. Step 4: Simplify right side
    73,196.96x = 3,694,080,798.14
  5. Step 5: Solve for x
    x = 3,694,080,798.14/73,196.96
  6. Step 6: Final answer
    x = 50,467.68

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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.