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Finding the Fourth Proportional to 53,493.96, 80,240.58 and 41,817

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Solution

The fourth proportional to 53,493.96, 80,240.58 and 41,817 is: 62,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,493.96 : 80,240.58 = 41,817 : x
  2. Step 2: Convert to fraction form
    53,493.96/80,240.58 = 41,817/x
  3. Step 3: Cross multiply
    53,493.96x = 80,240.58 × 41,817
  4. Step 4: Simplify right side
    53,493.96x = 3,355,420,333.86
  5. Step 5: Solve for x
    x = 3,355,420,333.86/53,493.96
  6. Step 6: Final answer
    x = 62,725.22

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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.