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Finding the Fourth Proportional to 35,992.75, 49,670.04 and 20,078.22

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Solution

The fourth proportional to 35,992.75, 49,670.04 and 20,078.22 is: 27,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,992.75 : 49,670.04 = 20,078.22 : x
  2. Step 2: Convert to fraction form
    35,992.75/49,670.04 = 20,078.22/x
  3. Step 3: Cross multiply
    35,992.75x = 49,670.04 × 20,078.22
  4. Step 4: Simplify right side
    35,992.75x = 997,285,742.18
  5. Step 5: Solve for x
    x = 997,285,742.18/35,992.75
  6. Step 6: Final answer
    x = 27,707.96

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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.