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Finding the Fourth Proportional to 35,993.82, 49,671.64 and 20,078.94

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Solution

The fourth proportional to 35,993.82, 49,671.64 and 20,078.94 is: 27,709.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,993.82 : 49,671.64 = 20,078.94 : x
  2. Step 2: Convert to fraction form
    35,993.82/49,671.64 = 20,078.94/x
  3. Step 3: Cross multiply
    35,993.82x = 49,671.64 × 20,078.94
  4. Step 4: Simplify right side
    35,993.82x = 997,353,879.26
  5. Step 5: Solve for x
    x = 997,353,879.26/35,993.82
  6. Step 6: Final answer
    x = 27,709.03

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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.