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Finding the Fourth Proportional to 54,114.64, 74,656.32 and 35,974.12

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Solution

The fourth proportional to 54,114.64, 74,656.32 and 35,974.12 is: 49,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,114.64 : 74,656.32 = 35,974.12 : x
  2. Step 2: Convert to fraction form
    54,114.64/74,656.32 = 35,974.12/x
  3. Step 3: Cross multiply
    54,114.64x = 74,656.32 × 35,974.12
  4. Step 4: Simplify right side
    54,114.64x = 2,685,695,414.44
  5. Step 5: Solve for x
    x = 2,685,695,414.44/54,114.64
  6. Step 6: Final answer
    x = 49,629.74

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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.