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Finding the Fourth Proportional to 47,192.70, 70,789.08 and 16,028.22

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Solution

The fourth proportional to 47,192.70, 70,789.08 and 16,028.22 is: 24,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,192.70 : 70,789.08 = 16,028.22 : x
  2. Step 2: Convert to fraction form
    47,192.70/70,789.08 = 16,028.22/x
  3. Step 3: Cross multiply
    47,192.70x = 70,789.08 × 16,028.22
  4. Step 4: Simplify right side
    47,192.70x = 1,134,622,947.84
  5. Step 5: Solve for x
    x = 1,134,622,947.84/47,192.70
  6. Step 6: Final answer
    x = 24,042.34

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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.