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Finding the Fourth Proportional to 54,951.96, 75,837.45 and 31,078.62

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Solution

The fourth proportional to 54,951.96, 75,837.45 and 31,078.62 is: 42,890.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,951.96 : 75,837.45 = 31,078.62 : x
  2. Step 2: Convert to fraction form
    54,951.96/75,837.45 = 31,078.62/x
  3. Step 3: Cross multiply
    54,951.96x = 75,837.45 × 31,078.62
  4. Step 4: Simplify right side
    54,951.96x = 2,356,923,290.32
  5. Step 5: Solve for x
    x = 2,356,923,290.32/54,951.96
  6. Step 6: Final answer
    x = 42,890.61

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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.