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Finding the Fourth Proportional to 55,202.52, 82,804.32 and 13,649.52

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Solution

The fourth proportional to 55,202.52, 82,804.32 and 13,649.52 is: 20,474.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,202.52 : 82,804.32 = 13,649.52 : x
  2. Step 2: Convert to fraction form
    55,202.52/82,804.32 = 13,649.52/x
  3. Step 3: Cross multiply
    55,202.52x = 82,804.32 × 13,649.52
  4. Step 4: Simplify right side
    55,202.52x = 1,130,239,221.93
  5. Step 5: Solve for x
    x = 1,130,239,221.93/55,202.52
  6. Step 6: Final answer
    x = 20,474.41

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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.