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Finding the Fourth Proportional to 55,682.70, 76,843.17 and 30,532.02

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Solution

The fourth proportional to 55,682.70, 76,843.17 and 30,532.02 is: 42,134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,682.70 : 76,843.17 = 30,532.02 : x
  2. Step 2: Convert to fraction form
    55,682.70/76,843.17 = 30,532.02/x
  3. Step 3: Cross multiply
    55,682.70x = 76,843.17 × 30,532.02
  4. Step 4: Simplify right side
    55,682.70x = 2,346,177,203.30
  5. Step 5: Solve for x
    x = 2,346,177,203.30/55,682.70
  6. Step 6: Final answer
    x = 42,134.76

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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.