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Finding the Fourth Proportional to 55,311.92, 76,327.92 and 33,837.40

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Solution

The fourth proportional to 55,311.92, 76,327.92 and 33,837.40 is: 46,694.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,311.92 : 76,327.92 = 33,837.40 : x
  2. Step 2: Convert to fraction form
    55,311.92/76,327.92 = 33,837.40/x
  3. Step 3: Cross multiply
    55,311.92x = 76,327.92 × 33,837.40
  4. Step 4: Simplify right side
    55,311.92x = 2,582,738,360.21
  5. Step 5: Solve for x
    x = 2,582,738,360.21/55,311.92
  6. Step 6: Final answer
    x = 46,694.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.