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Finding the Fourth Proportional to 82,512, 113,868.60 and 44,786.16

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Solution

The fourth proportional to 82,512, 113,868.60 and 44,786.16 is: 61,806.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,512 : 113,868.60 = 44,786.16 : x
  2. Step 2: Convert to fraction form
    82,512/113,868.60 = 44,786.16/x
  3. Step 3: Cross multiply
    82,512x = 113,868.60 × 44,786.16
  4. Step 4: Simplify right side
    82,512x = 5,099,737,338.58
  5. Step 5: Solve for x
    x = 5,099,737,338.58/82,512
  6. Step 6: Final answer
    x = 61,806.01

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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.