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Finding the Fourth Proportional to 75,676.60, 103,677.46 and 72,838.97

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Solution

The fourth proportional to 75,676.60, 103,677.46 and 72,838.97 is: 99,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,676.60 : 103,677.46 = 72,838.97 : x
  2. Step 2: Convert to fraction form
    75,676.60/103,677.46 = 72,838.97/x
  3. Step 3: Cross multiply
    75,676.60x = 103,677.46 × 72,838.97
  4. Step 4: Simplify right side
    75,676.60x = 7,551,759,398.62
  5. Step 5: Solve for x
    x = 7,551,759,398.62/75,676.60
  6. Step 6: Final answer
    x = 99,789.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.