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Finding the Fourth Proportional to 107,135.46, 160,703.46 and 32,255.82

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Solution

The fourth proportional to 107,135.46, 160,703.46 and 32,255.82 is: 48,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,135.46 : 160,703.46 = 32,255.82 : x
  2. Step 2: Convert to fraction form
    107,135.46/160,703.46 = 32,255.82/x
  3. Step 3: Cross multiply
    107,135.46x = 160,703.46 × 32,255.82
  4. Step 4: Simplify right side
    107,135.46x = 5,183,621,879.14
  5. Step 5: Solve for x
    x = 5,183,621,879.14/107,135.46
  6. Step 6: Final answer
    x = 48,383.81

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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.