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Finding the Fourth Proportional to 92,198.33, 138,322.10 and 33,039.98

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Solution

The fourth proportional to 92,198.33, 138,322.10 and 33,039.98 is: 49,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,198.33 : 138,322.10 = 33,039.98 : x
  2. Step 2: Convert to fraction form
    92,198.33/138,322.10 = 33,039.98/x
  3. Step 3: Cross multiply
    92,198.33x = 138,322.10 × 33,039.98
  4. Step 4: Simplify right side
    92,198.33x = 4,570,158,822.07
  5. Step 5: Solve for x
    x = 4,570,158,822.07/92,198.33
  6. Step 6: Final answer
    x = 49,568.78

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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.