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Finding the Fourth Proportional to 35,993, 49,670.39 and 20,078.47

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Solution

The fourth proportional to 35,993, 49,670.39 and 20,078.47 is: 27,708.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,993 : 49,670.39 = 20,078.47 : x
  2. Step 2: Convert to fraction form
    35,993/49,670.39 = 20,078.47/x
  3. Step 3: Cross multiply
    35,993x = 49,670.39 × 20,078.47
  4. Step 4: Simplify right side
    35,993x = 997,305,086.76
  5. Step 5: Solve for x
    x = 997,305,086.76/35,993
  6. Step 6: Final answer
    x = 27,708.31

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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.