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Finding the Fourth Proportional to 70,031.82, 96,640.95 and 38,198.82

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Solution

The fourth proportional to 70,031.82, 96,640.95 and 38,198.82 is: 52,712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,031.82 : 96,640.95 = 38,198.82 : x
  2. Step 2: Convert to fraction form
    70,031.82/96,640.95 = 38,198.82/x
  3. Step 3: Cross multiply
    70,031.82x = 96,640.95 × 38,198.82
  4. Step 4: Simplify right side
    70,031.82x = 3,691,570,253.68
  5. Step 5: Solve for x
    x = 3,691,570,253.68/70,031.82
  6. Step 6: Final answer
    x = 52,712.76

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