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Finding the Fourth Proportional to 30,778.32, 42,491.16 and 20,183.52

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Solution

The fourth proportional to 30,778.32, 42,491.16 and 20,183.52 is: 27,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.32 : 42,491.16 = 20,183.52 : x
  2. Step 2: Convert to fraction form
    30,778.32/42,491.16 = 20,183.52/x
  3. Step 3: Cross multiply
    30,778.32x = 42,491.16 × 20,183.52
  4. Step 4: Simplify right side
    30,778.32x = 857,621,177.68
  5. Step 5: Solve for x
    x = 857,621,177.68/30,778.32
  6. Step 6: Final answer
    x = 27,864.46

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