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Finding the Fourth Proportional to 85,212.96, 127,732.86 and 35,320.20

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Solution

The fourth proportional to 85,212.96, 127,732.86 and 35,320.20 is: 52,944.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,212.96 : 127,732.86 = 35,320.20 : x
  2. Step 2: Convert to fraction form
    85,212.96/127,732.86 = 35,320.20/x
  3. Step 3: Cross multiply
    85,212.96x = 127,732.86 × 35,320.20
  4. Step 4: Simplify right side
    85,212.96x = 4,511,550,161.77
  5. Step 5: Solve for x
    x = 4,511,550,161.77/85,212.96
  6. Step 6: Final answer
    x = 52,944.41

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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.