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Finding the Fourth Proportional to 74,191.32, 102,382.92 and 40,198.86

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Solution

The fourth proportional to 74,191.32, 102,382.92 and 40,198.86 is: 55,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,191.32 : 102,382.92 = 40,198.86 : x
  2. Step 2: Convert to fraction form
    74,191.32/102,382.92 = 40,198.86/x
  3. Step 3: Cross multiply
    74,191.32x = 102,382.92 × 40,198.86
  4. Step 4: Simplify right side
    74,191.32x = 4,115,676,667.47
  5. Step 5: Solve for x
    x = 4,115,676,667.47/74,191.32
  6. Step 6: Final answer
    x = 55,473.83

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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.