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Finding the Fourth Proportional to 54,064.64, 81,138.72 and 27,792.32

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Solution

The fourth proportional to 54,064.64, 81,138.72 and 27,792.32 is: 41,709.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,064.64 : 81,138.72 = 27,792.32 : x
  2. Step 2: Convert to fraction form
    54,064.64/81,138.72 = 27,792.32/x
  3. Step 3: Cross multiply
    54,064.64x = 81,138.72 × 27,792.32
  4. Step 4: Simplify right side
    54,064.64x = 2,255,033,270.63
  5. Step 5: Solve for x
    x = 2,255,033,270.63/54,064.64
  6. Step 6: Final answer
    x = 41,709.95

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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.