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Finding the Fourth Proportional to 47,228.64, 70,796.88 and 22,621.92

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Solution

The fourth proportional to 47,228.64, 70,796.88 and 22,621.92 is: 33,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,228.64 : 70,796.88 = 22,621.92 : x
  2. Step 2: Convert to fraction form
    47,228.64/70,796.88 = 22,621.92/x
  3. Step 3: Cross multiply
    47,228.64x = 70,796.88 × 22,621.92
  4. Step 4: Simplify right side
    47,228.64x = 1,601,561,355.61
  5. Step 5: Solve for x
    x = 1,601,561,355.61/47,228.64
  6. Step 6: Final answer
    x = 33,910.81

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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.