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Finding the Fourth Proportional to 35,967.84, 49,632 and 20,050.80

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Solution

The fourth proportional to 35,967.84, 49,632 and 20,050.80 is: 27,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,967.84 : 49,632 = 20,050.80 : x
  2. Step 2: Convert to fraction form
    35,967.84/49,632 = 20,050.80/x
  3. Step 3: Cross multiply
    35,967.84x = 49,632 × 20,050.80
  4. Step 4: Simplify right side
    35,967.84x = 995,161,305.60
  5. Step 5: Solve for x
    x = 995,161,305.60/35,967.84
  6. Step 6: Final answer
    x = 27,668.09

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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.