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Finding the Fourth Proportional to 32,338.92, 44,633.84 and 20,245

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Solution

The fourth proportional to 32,338.92, 44,633.84 and 20,245 is: 27,941.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,338.92 : 44,633.84 = 20,245 : x
  2. Step 2: Convert to fraction form
    32,338.92/44,633.84 = 20,245/x
  3. Step 3: Cross multiply
    32,338.92x = 44,633.84 × 20,245
  4. Step 4: Simplify right side
    32,338.92x = 903,612,090.80
  5. Step 5: Solve for x
    x = 903,612,090.80/32,338.92
  6. Step 6: Final answer
    x = 27,941.94

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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.