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Finding the Fourth Proportional to 55,847.37, 83,775.12 and 20,787

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Solution

The fourth proportional to 55,847.37, 83,775.12 and 20,787 is: 31,182.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,847.37 : 83,775.12 = 20,787 : x
  2. Step 2: Convert to fraction form
    55,847.37/83,775.12 = 20,787/x
  3. Step 3: Cross multiply
    55,847.37x = 83,775.12 × 20,787
  4. Step 4: Simplify right side
    55,847.37x = 1,741,433,419.44
  5. Step 5: Solve for x
    x = 1,741,433,419.44/55,847.37
  6. Step 6: Final answer
    x = 31,182.01

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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.