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Finding the Fourth Proportional to 32,523.46, 48,738.38 and 19,164.94

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Solution

The fourth proportional to 32,523.46, 48,738.38 and 19,164.94 is: 28,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,523.46 : 48,738.38 = 19,164.94 : x
  2. Step 2: Convert to fraction form
    32,523.46/48,738.38 = 19,164.94/x
  3. Step 3: Cross multiply
    32,523.46x = 48,738.38 × 19,164.94
  4. Step 4: Simplify right side
    32,523.46x = 934,067,910.73
  5. Step 5: Solve for x
    x = 934,067,910.73/32,523.46
  6. Step 6: Final answer
    x = 28,719.82

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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.