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Finding the Fourth Proportional to 84,469.76, 116,556.72 and 50,471.02

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Solution

The fourth proportional to 84,469.76, 116,556.72 and 50,471.02 is: 69,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,469.76 : 116,556.72 = 50,471.02 : x
  2. Step 2: Convert to fraction form
    84,469.76/116,556.72 = 50,471.02/x
  3. Step 3: Cross multiply
    84,469.76x = 116,556.72 × 50,471.02
  4. Step 4: Simplify right side
    84,469.76x = 5,882,735,963.47
  5. Step 5: Solve for x
    x = 5,882,735,963.47/84,469.76
  6. Step 6: Final answer
    x = 69,643.10

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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.