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Finding the Fourth Proportional to 30,832.80, 42,535.44 and 20,879.52

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Solution

The fourth proportional to 30,832.80, 42,535.44 and 20,879.52 is: 28,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.80 : 42,535.44 = 20,879.52 : x
  2. Step 2: Convert to fraction form
    30,832.80/42,535.44 = 20,879.52/x
  3. Step 3: Cross multiply
    30,832.80x = 42,535.44 × 20,879.52
  4. Step 4: Simplify right side
    30,832.80x = 888,119,570.19
  5. Step 5: Solve for x
    x = 888,119,570.19/30,832.80
  6. Step 6: Final answer
    x = 28,804.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.