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Finding the Fourth Proportional to 82,513.62, 113,868.06 and 44,787.84

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Solution

The fourth proportional to 82,513.62, 113,868.06 and 44,787.84 is: 61,806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,513.62 : 113,868.06 = 44,787.84 : x
  2. Step 2: Convert to fraction form
    82,513.62/113,868.06 = 44,787.84/x
  3. Step 3: Cross multiply
    82,513.62x = 113,868.06 × 44,787.84
  4. Step 4: Simplify right side
    82,513.62x = 5,099,904,452.39
  5. Step 5: Solve for x
    x = 5,099,904,452.39/82,513.62
  6. Step 6: Final answer
    x = 61,806.82

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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.