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Finding the Fourth Proportional to 31,449.80, 47,196.54 and 20,328.86

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Solution

The fourth proportional to 31,449.80, 47,196.54 and 20,328.86 is: 30,507.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,449.80 : 47,196.54 = 20,328.86 : x
  2. Step 2: Convert to fraction form
    31,449.80/47,196.54 = 20,328.86/x
  3. Step 3: Cross multiply
    31,449.80x = 47,196.54 × 20,328.86
  4. Step 4: Simplify right side
    31,449.80x = 959,451,854.14
  5. Step 5: Solve for x
    x = 959,451,854.14/31,449.80
  6. Step 6: Final answer
    x = 30,507.41

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