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Finding the Fourth Proportional to 35,992.96, 49,670.37 and 20,078.44

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Solution

The fourth proportional to 35,992.96, 49,670.37 and 20,078.44 is: 27,708.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,992.96 : 49,670.37 = 20,078.44 : x
  2. Step 2: Convert to fraction form
    35,992.96/49,670.37 = 20,078.44/x
  3. Step 3: Cross multiply
    35,992.96x = 49,670.37 × 20,078.44
  4. Step 4: Simplify right side
    35,992.96x = 997,303,419.65
  5. Step 5: Solve for x
    x = 997,303,419.65/35,992.96
  6. Step 6: Final answer
    x = 27,708.29

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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.