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Finding the Fourth Proportional to 32,863.50, 45,348.38 and 20,120.28

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Solution

The fourth proportional to 32,863.50, 45,348.38 and 20,120.28 is: 27,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,863.50 : 45,348.38 = 20,120.28 : x
  2. Step 2: Convert to fraction form
    32,863.50/45,348.38 = 20,120.28/x
  3. Step 3: Cross multiply
    32,863.50x = 45,348.38 × 20,120.28
  4. Step 4: Simplify right side
    32,863.50x = 912,422,103.15
  5. Step 5: Solve for x
    x = 912,422,103.15/32,863.50
  6. Step 6: Final answer
    x = 27,764.00

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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.