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Finding the Fourth Proportional to 35,967.50, 49,634.58 and 20,052.92

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Solution

The fourth proportional to 35,967.50, 49,634.58 and 20,052.92 is: 27,672.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,967.50 : 49,634.58 = 20,052.92 : x
  2. Step 2: Convert to fraction form
    35,967.50/49,634.58 = 20,052.92/x
  3. Step 3: Cross multiply
    35,967.50x = 49,634.58 × 20,052.92
  4. Step 4: Simplify right side
    35,967.50x = 995,318,261.97
  5. Step 5: Solve for x
    x = 995,318,261.97/35,967.50
  6. Step 6: Final answer
    x = 27,672.71

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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.