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Finding the Fourth Proportional to 54,062.64, 81,135.72 and 27,790.32

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Solution

The fourth proportional to 54,062.64, 81,135.72 and 27,790.32 is: 41,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,062.64 : 81,135.72 = 27,790.32 : x
  2. Step 2: Convert to fraction form
    54,062.64/81,135.72 = 27,790.32/x
  3. Step 3: Cross multiply
    54,062.64x = 81,135.72 × 27,790.32
  4. Step 4: Simplify right side
    54,062.64x = 2,254,787,622.23
  5. Step 5: Solve for x
    x = 2,254,787,622.23/54,062.64
  6. Step 6: Final answer
    x = 41,706.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.