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Finding the Fourth Proportional to 70,105.66, 96,745.30 and 38,274.56

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Solution

The fourth proportional to 70,105.66, 96,745.30 and 38,274.56 is: 52,818.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,105.66 : 96,745.30 = 38,274.56 : x
  2. Step 2: Convert to fraction form
    70,105.66/96,745.30 = 38,274.56/x
  3. Step 3: Cross multiply
    70,105.66x = 96,745.30 × 38,274.56
  4. Step 4: Simplify right side
    70,105.66x = 3,702,883,305.84
  5. Step 5: Solve for x
    x = 3,702,883,305.84/70,105.66
  6. Step 6: Final answer
    x = 52,818.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.