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Finding the Fourth Proportional to 55,298.44, 82,947.96 and 13,745.44

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Solution

The fourth proportional to 55,298.44, 82,947.96 and 13,745.44 is: 20,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,298.44 : 82,947.96 = 13,745.44 : x
  2. Step 2: Convert to fraction form
    55,298.44/82,947.96 = 13,745.44/x
  3. Step 3: Cross multiply
    55,298.44x = 82,947.96 × 13,745.44
  4. Step 4: Simplify right side
    55,298.44x = 1,140,155,999.93
  5. Step 5: Solve for x
    x = 1,140,155,999.93/55,298.44
  6. Step 6: Final answer
    x = 20,618.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.