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Finding the Fourth Proportional to 35,993.89, 49,672.62 and 20,078

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Solution

The fourth proportional to 35,993.89, 49,672.62 and 20,078 is: 27,708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,993.89 : 49,672.62 = 20,078 : x
  2. Step 2: Convert to fraction form
    35,993.89/49,672.62 = 20,078/x
  3. Step 3: Cross multiply
    35,993.89x = 49,672.62 × 20,078
  4. Step 4: Simplify right side
    35,993.89x = 997,326,864.36
  5. Step 5: Solve for x
    x = 997,326,864.36/35,993.89
  6. Step 6: Final answer
    x = 27,708.23

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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.