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Finding the Fourth Proportional to 53,909.28, 80,867.16 and 22,734

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Solution

The fourth proportional to 53,909.28, 80,867.16 and 22,734 is: 34,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,909.28 : 80,867.16 = 22,734 : x
  2. Step 2: Convert to fraction form
    53,909.28/80,867.16 = 22,734/x
  3. Step 3: Cross multiply
    53,909.28x = 80,867.16 × 22,734
  4. Step 4: Simplify right side
    53,909.28x = 1,838,434,015.44
  5. Step 5: Solve for x
    x = 1,838,434,015.44/53,909.28
  6. Step 6: Final answer
    x = 34,102.37

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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.