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Finding the Fourth Proportional to 35,992.88, 49,670.21 and 20,078.34

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Solution

The fourth proportional to 35,992.88, 49,670.21 and 20,078.34 is: 27,708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,992.88 : 49,670.21 = 20,078.34 : x
  2. Step 2: Convert to fraction form
    35,992.88/49,670.21 = 20,078.34/x
  3. Step 3: Cross multiply
    35,992.88x = 49,670.21 × 20,078.34
  4. Step 4: Simplify right side
    35,992.88x = 997,295,414.45
  5. Step 5: Solve for x
    x = 997,295,414.45/35,992.88
  6. Step 6: Final answer
    x = 27,708.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.