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Finding the Fourth Proportional to 35,027, 48,337.26 and 22,451.78

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Solution

The fourth proportional to 35,027, 48,337.26 and 22,451.78 is: 30,983.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,027 : 48,337.26 = 22,451.78 : x
  2. Step 2: Convert to fraction form
    35,027/48,337.26 = 22,451.78/x
  3. Step 3: Cross multiply
    35,027x = 48,337.26 × 22,451.78
  4. Step 4: Simplify right side
    35,027x = 1,085,257,527.32
  5. Step 5: Solve for x
    x = 1,085,257,527.32/35,027
  6. Step 6: Final answer
    x = 30,983.46

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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.