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Finding the Fourth Proportional to 73,781.64, 101,562.72 and 55,845

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Solution

The fourth proportional to 73,781.64, 101,562.72 and 55,845 is: 76,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,781.64 : 101,562.72 = 55,845 : x
  2. Step 2: Convert to fraction form
    73,781.64/101,562.72 = 55,845/x
  3. Step 3: Cross multiply
    73,781.64x = 101,562.72 × 55,845
  4. Step 4: Simplify right side
    73,781.64x = 5,671,770,098.40
  5. Step 5: Solve for x
    x = 5,671,770,098.40/73,781.64
  6. Step 6: Final answer
    x = 76,872.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.