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Finding the Fourth Proportional to 35,939.21, 49,596.17 and 20,024.22

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Solution

The fourth proportional to 35,939.21, 49,596.17 and 20,024.22 is: 27,633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,939.21 : 49,596.17 = 20,024.22 : x
  2. Step 2: Convert to fraction form
    35,939.21/49,596.17 = 20,024.22/x
  3. Step 3: Cross multiply
    35,939.21x = 49,596.17 × 20,024.22
  4. Step 4: Simplify right side
    35,939.21x = 993,124,519.12
  5. Step 5: Solve for x
    x = 993,124,519.12/35,939.21
  6. Step 6: Final answer
    x = 27,633.46

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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.