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Finding the Fourth Proportional to 49,809.60, 68,736 and 27,453.12

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Solution

The fourth proportional to 49,809.60, 68,736 and 27,453.12 is: 37,884.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,809.60 : 68,736 = 27,453.12 : x
  2. Step 2: Convert to fraction form
    49,809.60/68,736 = 27,453.12/x
  3. Step 3: Cross multiply
    49,809.60x = 68,736 × 27,453.12
  4. Step 4: Simplify right side
    49,809.60x = 1,887,017,656.32
  5. Step 5: Solve for x
    x = 1,887,017,656.32/49,809.60
  6. Step 6: Final answer
    x = 37,884.62

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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.