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Finding the Fourth Proportional to 111,593.96, 167,392.31 and 32,709.77

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Solution

The fourth proportional to 111,593.96, 167,392.31 and 32,709.77 is: 49,065.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,593.96 : 167,392.31 = 32,709.77 : x
  2. Step 2: Convert to fraction form
    111,593.96/167,392.31 = 32,709.77/x
  3. Step 3: Cross multiply
    111,593.96x = 167,392.31 × 32,709.77
  4. Step 4: Simplify right side
    111,593.96x = 5,475,364,214.80
  5. Step 5: Solve for x
    x = 5,475,364,214.80/111,593.96
  6. Step 6: Final answer
    x = 49,065.06

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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.