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Finding the Fourth Proportional to 47,105.50, 70,659.70 and 14,273.50

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Solution

The fourth proportional to 47,105.50, 70,659.70 and 14,273.50 is: 21,410.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,105.50 : 70,659.70 = 14,273.50 : x
  2. Step 2: Convert to fraction form
    47,105.50/70,659.70 = 14,273.50/x
  3. Step 3: Cross multiply
    47,105.50x = 70,659.70 × 14,273.50
  4. Step 4: Simplify right side
    47,105.50x = 1,008,561,227.95
  5. Step 5: Solve for x
    x = 1,008,561,227.95/47,105.50
  6. Step 6: Final answer
    x = 21,410.69

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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.