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Finding the Fourth Proportional to 84,466.25, 116,512.75 and 55,785.97

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Solution

The fourth proportional to 84,466.25, 116,512.75 and 55,785.97 is: 76,951.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,466.25 : 116,512.75 = 55,785.97 : x
  2. Step 2: Convert to fraction form
    84,466.25/116,512.75 = 55,785.97/x
  3. Step 3: Cross multiply
    84,466.25x = 116,512.75 × 55,785.97
  4. Step 4: Simplify right side
    84,466.25x = 6,499,776,491.01
  5. Step 5: Solve for x
    x = 6,499,776,491.01/84,466.25
  6. Step 6: Final answer
    x = 76,951.17

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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.