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Finding the Fourth Proportional to 53,891.16, 74,369.88 and 31,234.56

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Solution

The fourth proportional to 53,891.16, 74,369.88 and 31,234.56 is: 43,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,891.16 : 74,369.88 = 31,234.56 : x
  2. Step 2: Convert to fraction form
    53,891.16/74,369.88 = 31,234.56/x
  3. Step 3: Cross multiply
    53,891.16x = 74,369.88 × 31,234.56
  4. Step 4: Simplify right side
    53,891.16x = 2,322,910,479.05
  5. Step 5: Solve for x
    x = 2,322,910,479.05/53,891.16
  6. Step 6: Final answer
    x = 43,103.74

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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.