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Finding the Fourth Proportional to 114,773.86, 172,170.72 and 31,667.86

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Solution

The fourth proportional to 114,773.86, 172,170.72 and 31,667.86 is: 47,504.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,773.86 : 172,170.72 = 31,667.86 : x
  2. Step 2: Convert to fraction form
    114,773.86/172,170.72 = 31,667.86/x
  3. Step 3: Cross multiply
    114,773.86x = 172,170.72 × 31,667.86
  4. Step 4: Simplify right side
    114,773.86x = 5,452,278,257.06
  5. Step 5: Solve for x
    x = 5,452,278,257.06/114,773.86
  6. Step 6: Final answer
    x = 47,504.53

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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.