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Finding the Fourth Proportional to 53,504.96, 80,257.08 and 41,828

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Solution

The fourth proportional to 53,504.96, 80,257.08 and 41,828 is: 62,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,504.96 : 80,257.08 = 41,828 : x
  2. Step 2: Convert to fraction form
    53,504.96/80,257.08 = 41,828/x
  3. Step 3: Cross multiply
    53,504.96x = 80,257.08 × 41,828
  4. Step 4: Simplify right side
    53,504.96x = 3,356,993,142.24
  5. Step 5: Solve for x
    x = 3,356,993,142.24/53,504.96
  6. Step 6: Final answer
    x = 62,741.72

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