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Finding the Fourth Proportional to 49,471.75, 74,207.63 and 21,769.75

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Solution

The fourth proportional to 49,471.75, 74,207.63 and 21,769.75 is: 32,654.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,471.75 : 74,207.63 = 21,769.75 : x
  2. Step 2: Convert to fraction form
    49,471.75/74,207.63 = 21,769.75/x
  3. Step 3: Cross multiply
    49,471.75x = 74,207.63 × 21,769.75
  4. Step 4: Simplify right side
    49,471.75x = 1,615,481,553.19
  5. Step 5: Solve for x
    x = 1,615,481,553.19/49,471.75
  6. Step 6: Final answer
    x = 32,654.63

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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.