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Finding the Fourth Proportional to 66,773.25, 100,171.22 and 31,693.77

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Solution

The fourth proportional to 66,773.25, 100,171.22 and 31,693.77 is: 47,546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,773.25 : 100,171.22 = 31,693.77 : x
  2. Step 2: Convert to fraction form
    66,773.25/100,171.22 = 31,693.77/x
  3. Step 3: Cross multiply
    66,773.25x = 100,171.22 × 31,693.77
  4. Step 4: Simplify right side
    66,773.25x = 3,174,803,448.83
  5. Step 5: Solve for x
    x = 3,174,803,448.83/66,773.25
  6. Step 6: Final answer
    x = 47,546.04

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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.