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Finding the Fourth Proportional to 55,784.22, 76,982.22 and 30,290.46

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Solution

The fourth proportional to 55,784.22, 76,982.22 and 30,290.46 is: 41,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,784.22 : 76,982.22 = 30,290.46 : x
  2. Step 2: Convert to fraction form
    55,784.22/76,982.22 = 30,290.46/x
  3. Step 3: Cross multiply
    55,784.22x = 76,982.22 × 30,290.46
  4. Step 4: Simplify right side
    55,784.22x = 2,331,826,855.62
  5. Step 5: Solve for x
    x = 2,331,826,855.62/55,784.22
  6. Step 6: Final answer
    x = 41,800.83

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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.