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Finding the Fourth Proportional to 53,490.96, 80,236.08 and 41,814

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Solution

The fourth proportional to 53,490.96, 80,236.08 and 41,814 is: 62,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,490.96 : 80,236.08 = 41,814 : x
  2. Step 2: Convert to fraction form
    53,490.96/80,236.08 = 41,814/x
  3. Step 3: Cross multiply
    53,490.96x = 80,236.08 × 41,814
  4. Step 4: Simplify right side
    53,490.96x = 3,354,991,449.12
  5. Step 5: Solve for x
    x = 3,354,991,449.12/53,490.96
  6. Step 6: Final answer
    x = 62,720.72

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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.