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Finding the Fourth Proportional to 35,943.78, 49,602.09 and 20,027.94

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Solution

The fourth proportional to 35,943.78, 49,602.09 and 20,027.94 is: 27,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,943.78 : 49,602.09 = 20,027.94 : x
  2. Step 2: Convert to fraction form
    35,943.78/49,602.09 = 20,027.94/x
  3. Step 3: Cross multiply
    35,943.78x = 49,602.09 × 20,027.94
  4. Step 4: Simplify right side
    35,943.78x = 993,427,682.39
  5. Step 5: Solve for x
    x = 993,427,682.39/35,943.78
  6. Step 6: Final answer
    x = 27,638.38

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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.