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Finding the Fourth Proportional to 54,042.56, 74,542.32 and 46,956.80

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Solution

The fourth proportional to 54,042.56, 74,542.32 and 46,956.80 is: 64,768.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,042.56 : 74,542.32 = 46,956.80 : x
  2. Step 2: Convert to fraction form
    54,042.56/74,542.32 = 46,956.80/x
  3. Step 3: Cross multiply
    54,042.56x = 74,542.32 × 46,956.80
  4. Step 4: Simplify right side
    54,042.56x = 3,500,268,811.78
  5. Step 5: Solve for x
    x = 3,500,268,811.78/54,042.56
  6. Step 6: Final answer
    x = 64,768.75

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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.