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Finding the Fourth Proportional to 55,198.67, 82,797.80 and 13,645.67

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Solution

The fourth proportional to 55,198.67, 82,797.80 and 13,645.67 is: 20,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,198.67 : 82,797.80 = 13,645.67 : x
  2. Step 2: Convert to fraction form
    55,198.67/82,797.80 = 13,645.67/x
  3. Step 3: Cross multiply
    55,198.67x = 82,797.80 × 13,645.67
  4. Step 4: Simplify right side
    55,198.67x = 1,129,830,973.31
  5. Step 5: Solve for x
    x = 1,129,830,973.31/55,198.67
  6. Step 6: Final answer
    x = 20,468.45

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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.