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Finding the Fourth Proportional to 39,409.68, 54,383.16 and 22,642.68

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Solution

The fourth proportional to 39,409.68, 54,383.16 and 22,642.68 is: 31,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,409.68 : 54,383.16 = 22,642.68 : x
  2. Step 2: Convert to fraction form
    39,409.68/54,383.16 = 22,642.68/x
  3. Step 3: Cross multiply
    39,409.68x = 54,383.16 × 22,642.68
  4. Step 4: Simplify right side
    39,409.68x = 1,231,380,489.27
  5. Step 5: Solve for x
    x = 1,231,380,489.27/39,409.68
  6. Step 6: Final answer
    x = 31,245.64

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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.