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Finding the Fourth Proportional to 35,991, 49,667.63 and 20,076.46

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Solution

The fourth proportional to 35,991, 49,667.63 and 20,076.46 is: 27,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,991 : 49,667.63 = 20,076.46 : x
  2. Step 2: Convert to fraction form
    35,991/49,667.63 = 20,076.46/x
  3. Step 3: Cross multiply
    35,991x = 49,667.63 × 20,076.46
  4. Step 4: Simplify right side
    35,991x = 997,149,962.44
  5. Step 5: Solve for x
    x = 997,149,962.44/35,991
  6. Step 6: Final answer
    x = 27,705.54

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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.