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Finding the Fourth Proportional to 82,951.92, 114,476.34 and 47,139.84

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Solution

The fourth proportional to 82,951.92, 114,476.34 and 47,139.84 is: 65,054.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,951.92 : 114,476.34 = 47,139.84 : x
  2. Step 2: Convert to fraction form
    82,951.92/114,476.34 = 47,139.84/x
  3. Step 3: Cross multiply
    82,951.92x = 114,476.34 × 47,139.84
  4. Step 4: Simplify right side
    82,951.92x = 5,396,396,351.39
  5. Step 5: Solve for x
    x = 5,396,396,351.39/82,951.92
  6. Step 6: Final answer
    x = 65,054.51

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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.