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Finding the Fourth Proportional to 54,193.26, 74,811.80 and 31,523.99

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Solution

The fourth proportional to 54,193.26, 74,811.80 and 31,523.99 is: 43,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,193.26 : 74,811.80 = 31,523.99 : x
  2. Step 2: Convert to fraction form
    54,193.26/74,811.80 = 31,523.99/x
  3. Step 3: Cross multiply
    54,193.26x = 74,811.80 × 31,523.99
  4. Step 4: Simplify right side
    54,193.26x = 2,358,366,277.46
  5. Step 5: Solve for x
    x = 2,358,366,277.46/54,193.26
  6. Step 6: Final answer
    x = 43,517.70

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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.