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Finding the Fourth Proportional to 84,758.76, 116,967.78 and 47,033.64

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Solution

The fourth proportional to 84,758.76, 116,967.78 and 47,033.64 is: 64,906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,758.76 : 116,967.78 = 47,033.64 : x
  2. Step 2: Convert to fraction form
    84,758.76/116,967.78 = 47,033.64/x
  3. Step 3: Cross multiply
    84,758.76x = 116,967.78 × 47,033.64
  4. Step 4: Simplify right side
    84,758.76x = 5,501,420,456.12
  5. Step 5: Solve for x
    x = 5,501,420,456.12/84,758.76
  6. Step 6: Final answer
    x = 64,906.81

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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.