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Finding the Fourth Proportional to 33,909, 46,777.78 and 29,426.46

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Solution

The fourth proportional to 33,909, 46,777.78 and 29,426.46 is: 40,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,909 : 46,777.78 = 29,426.46 : x
  2. Step 2: Convert to fraction form
    33,909/46,777.78 = 29,426.46/x
  3. Step 3: Cross multiply
    33,909x = 46,777.78 × 29,426.46
  4. Step 4: Simplify right side
    33,909x = 1,376,504,472.06
  5. Step 5: Solve for x
    x = 1,376,504,472.06/33,909
  6. Step 6: Final answer
    x = 40,594.07

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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.