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Finding the Fourth Proportional to 55,321.92, 82,991.10 and 20,258.82

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Solution

The fourth proportional to 55,321.92, 82,991.10 and 20,258.82 is: 30,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,321.92 : 82,991.10 = 20,258.82 : x
  2. Step 2: Convert to fraction form
    55,321.92/82,991.10 = 20,258.82/x
  3. Step 3: Cross multiply
    55,321.92x = 82,991.10 × 20,258.82
  4. Step 4: Simplify right side
    55,321.92x = 1,681,301,756.50
  5. Step 5: Solve for x
    x = 1,681,301,756.50/55,321.92
  6. Step 6: Final answer
    x = 30,391.24

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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.