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Finding the Fourth Proportional to 47,342.46, 70,991.82 and 17,739.12

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Solution

The fourth proportional to 47,342.46, 70,991.82 and 17,739.12 is: 26,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,342.46 : 70,991.82 = 17,739.12 : x
  2. Step 2: Convert to fraction form
    47,342.46/70,991.82 = 17,739.12/x
  3. Step 3: Cross multiply
    47,342.46x = 70,991.82 × 17,739.12
  4. Step 4: Simplify right side
    47,342.46x = 1,259,332,414.00
  5. Step 5: Solve for x
    x = 1,259,332,414.00/47,342.46
  6. Step 6: Final answer
    x = 26,600.49

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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.