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Finding the Fourth Proportional to 20,879.58, 31,322.62 and 7,027.50

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Solution

The fourth proportional to 20,879.58, 31,322.62 and 7,027.50 is: 10,542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,879.58 : 31,322.62 = 7,027.50 : x
  2. Step 2: Convert to fraction form
    20,879.58/31,322.62 = 7,027.50/x
  3. Step 3: Cross multiply
    20,879.58x = 31,322.62 × 7,027.50
  4. Step 4: Simplify right side
    20,879.58x = 220,119,712.05
  5. Step 5: Solve for x
    x = 220,119,712.05/20,879.58
  6. Step 6: Final answer
    x = 10,542.34

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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.