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Finding the Fourth Proportional to 35,992.16, 49,668.64 and 20,076.20

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Solution

The fourth proportional to 35,992.16, 49,668.64 and 20,076.20 is: 27,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,992.16 : 49,668.64 = 20,076.20 : x
  2. Step 2: Convert to fraction form
    35,992.16/49,668.64 = 20,076.20/x
  3. Step 3: Cross multiply
    35,992.16x = 49,668.64 × 20,076.20
  4. Step 4: Simplify right side
    35,992.16x = 997,157,550.37
  5. Step 5: Solve for x
    x = 997,157,550.37/35,992.16
  6. Step 6: Final answer
    x = 27,704.85

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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.