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Finding the Fourth Proportional to 84,761.84, 116,976.84 and 48,962.72

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Solution

The fourth proportional to 84,761.84, 116,976.84 and 48,962.72 is: 67,571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,761.84 : 116,976.84 = 48,962.72 : x
  2. Step 2: Convert to fraction form
    84,761.84/116,976.84 = 48,962.72/x
  3. Step 3: Cross multiply
    84,761.84x = 116,976.84 × 48,962.72
  4. Step 4: Simplify right side
    84,761.84x = 5,727,504,263.40
  5. Step 5: Solve for x
    x = 5,727,504,263.40/84,761.84
  6. Step 6: Final answer
    x = 67,571.73

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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.