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Finding the Fourth Proportional to 84,594.75, 126,871.34 and 37,221.75

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Solution

The fourth proportional to 84,594.75, 126,871.34 and 37,221.75 is: 55,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,594.75 : 126,871.34 = 37,221.75 : x
  2. Step 2: Convert to fraction form
    84,594.75/126,871.34 = 37,221.75/x
  3. Step 3: Cross multiply
    84,594.75x = 126,871.34 × 37,221.75
  4. Step 4: Simplify right side
    84,594.75x = 4,722,373,113.54
  5. Step 5: Solve for x
    x = 4,722,373,113.54/84,594.75
  6. Step 6: Final answer
    x = 55,823.48

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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.