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Finding the Fourth Proportional to 32,778.57, 45,233.67 and 20,031.70

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Solution

The fourth proportional to 32,778.57, 45,233.67 and 20,031.70 is: 27,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,778.57 : 45,233.67 = 20,031.70 : x
  2. Step 2: Convert to fraction form
    32,778.57/45,233.67 = 20,031.70/x
  3. Step 3: Cross multiply
    32,778.57x = 45,233.67 × 20,031.70
  4. Step 4: Simplify right side
    32,778.57x = 906,107,357.42
  5. Step 5: Solve for x
    x = 906,107,357.42/32,778.57
  6. Step 6: Final answer
    x = 27,643.29

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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.