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Finding the Fourth Proportional to 92,198.74, 138,322.72 and 33,040.39

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Solution

The fourth proportional to 92,198.74, 138,322.72 and 33,040.39 is: 49,569.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,198.74 : 138,322.72 = 33,040.39 : x
  2. Step 2: Convert to fraction form
    92,198.74/138,322.72 = 33,040.39/x
  3. Step 3: Cross multiply
    92,198.74x = 138,322.72 × 33,040.39
  4. Step 4: Simplify right side
    92,198.74x = 4,570,236,635.31
  5. Step 5: Solve for x
    x = 4,570,236,635.31/92,198.74
  6. Step 6: Final answer
    x = 49,569.40

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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.