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Finding the Fourth Proportional to 33,012.36, 45,565.74 and 20,447.64

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Solution

The fourth proportional to 33,012.36, 45,565.74 and 20,447.64 is: 28,223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,012.36 : 45,565.74 = 20,447.64 : x
  2. Step 2: Convert to fraction form
    33,012.36/45,565.74 = 20,447.64/x
  3. Step 3: Cross multiply
    33,012.36x = 45,565.74 × 20,447.64
  4. Step 4: Simplify right side
    33,012.36x = 931,711,847.85
  5. Step 5: Solve for x
    x = 931,711,847.85/33,012.36
  6. Step 6: Final answer
    x = 28,223.12

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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.