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Finding the Fourth Proportional to 82,544.39, 113,910.94 and 46,737.73

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Solution

The fourth proportional to 82,544.39, 113,910.94 and 46,737.73 is: 64,497.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,544.39 : 113,910.94 = 46,737.73 : x
  2. Step 2: Convert to fraction form
    82,544.39/113,910.94 = 46,737.73/x
  3. Step 3: Cross multiply
    82,544.39x = 113,910.94 × 46,737.73
  4. Step 4: Simplify right side
    82,544.39x = 5,323,938,757.77
  5. Step 5: Solve for x
    x = 5,323,938,757.77/82,544.39
  6. Step 6: Final answer
    x = 64,497.89

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