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Finding the Fourth Proportional to 54,236.32, 74,841.36 and 31,876

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Solution

The fourth proportional to 54,236.32, 74,841.36 and 31,876 is: 43,986.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,236.32 : 74,841.36 = 31,876 : x
  2. Step 2: Convert to fraction form
    54,236.32/74,841.36 = 31,876/x
  3. Step 3: Cross multiply
    54,236.32x = 74,841.36 × 31,876
  4. Step 4: Simplify right side
    54,236.32x = 2,385,643,191.36
  5. Step 5: Solve for x
    x = 2,385,643,191.36/54,236.32
  6. Step 6: Final answer
    x = 43,986.08

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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.