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Finding the Fourth Proportional to 32,175.92, 44,387.76 and 20,245.84

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Solution

The fourth proportional to 32,175.92, 44,387.76 and 20,245.84 is: 27,929.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,175.92 : 44,387.76 = 20,245.84 : x
  2. Step 2: Convert to fraction form
    32,175.92/44,387.76 = 20,245.84/x
  3. Step 3: Cross multiply
    32,175.92x = 44,387.76 × 20,245.84
  4. Step 4: Simplify right side
    32,175.92x = 898,667,486.92
  5. Step 5: Solve for x
    x = 898,667,486.92/32,175.92
  6. Step 6: Final answer
    x = 27,929.81

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1.5x scale

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.