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Finding the Fourth Proportional to 32,648.97, 48,991.91 and 13,927.24

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Solution

The fourth proportional to 32,648.97, 48,991.91 and 13,927.24 is: 20,898.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,648.97 : 48,991.91 = 13,927.24 : x
  2. Step 2: Convert to fraction form
    32,648.97/48,991.91 = 13,927.24/x
  3. Step 3: Cross multiply
    32,648.97x = 48,991.91 × 13,927.24
  4. Step 4: Simplify right side
    32,648.97x = 682,322,197.74
  5. Step 5: Solve for x
    x = 682,322,197.74/32,648.97
  6. Step 6: Final answer
    x = 20,898.73

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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.