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Finding the Fourth Proportional to 32,193.70, 48,290.55 and 31,027.30

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Solution

The fourth proportional to 32,193.70, 48,290.55 and 31,027.30 is: 46,540.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,193.70 : 48,290.55 = 31,027.30 : x
  2. Step 2: Convert to fraction form
    32,193.70/48,290.55 = 31,027.30/x
  3. Step 3: Cross multiply
    32,193.70x = 48,290.55 × 31,027.30
  4. Step 4: Simplify right side
    32,193.70x = 1,498,325,382.02
  5. Step 5: Solve for x
    x = 1,498,325,382.02/32,193.70
  6. Step 6: Final answer
    x = 46,540.95

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1.5x scale

Why These Related Problems?

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