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Finding the Fourth Proportional to 82,486.57, 113,831.76 and 44,760.82

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Solution

The fourth proportional to 82,486.57, 113,831.76 and 44,760.82 is: 61,770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,486.57 : 113,831.76 = 44,760.82 : x
  2. Step 2: Convert to fraction form
    82,486.57/113,831.76 = 44,760.82/x
  3. Step 3: Cross multiply
    82,486.57x = 113,831.76 × 44,760.82
  4. Step 4: Simplify right side
    82,486.57x = 5,095,202,919.64
  5. Step 5: Solve for x
    x = 5,095,202,919.64/82,486.57
  6. Step 6: Final answer
    x = 61,770.09

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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.