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Finding the Fourth Proportional to 84,585.64, 126,871.26 and 34,651.48

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Solution

The fourth proportional to 84,585.64, 126,871.26 and 34,651.48 is: 51,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,585.64 : 126,871.26 = 34,651.48 : x
  2. Step 2: Convert to fraction form
    84,585.64/126,871.26 = 34,651.48/x
  3. Step 3: Cross multiply
    84,585.64x = 126,871.26 × 34,651.48
  4. Step 4: Simplify right side
    84,585.64x = 4,396,276,928.46
  5. Step 5: Solve for x
    x = 4,396,276,928.46/84,585.64
  6. Step 6: Final answer
    x = 51,974.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.