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Finding the Fourth Proportional to 84,645.38, 116,768.30 and 54,033.06

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Solution

The fourth proportional to 84,645.38, 116,768.30 and 54,033.06 is: 74,538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,645.38 : 116,768.30 = 54,033.06 : x
  2. Step 2: Convert to fraction form
    84,645.38/116,768.30 = 54,033.06/x
  3. Step 3: Cross multiply
    84,645.38x = 116,768.30 × 54,033.06
  4. Step 4: Simplify right side
    84,645.38x = 6,309,348,560.00
  5. Step 5: Solve for x
    x = 6,309,348,560.00/84,645.38
  6. Step 6: Final answer
    x = 74,538.61

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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.