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Finding the Fourth Proportional to 82,099.38, 113,297.19 and 44,373.66

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Solution

The fourth proportional to 82,099.38, 113,297.19 and 44,373.66 is: 61,235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,099.38 : 113,297.19 = 44,373.66 : x
  2. Step 2: Convert to fraction form
    82,099.38/113,297.19 = 44,373.66/x
  3. Step 3: Cross multiply
    82,099.38x = 113,297.19 × 44,373.66
  4. Step 4: Simplify right side
    82,099.38x = 5,027,410,988.02
  5. Step 5: Solve for x
    x = 5,027,410,988.02/82,099.38
  6. Step 6: Final answer
    x = 61,235.68

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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.