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Finding the Fourth Proportional to 50,859.07, 70,185.49 and 28,198

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Solution

The fourth proportional to 50,859.07, 70,185.49 and 28,198 is: 38,913.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,859.07 : 70,185.49 = 28,198 : x
  2. Step 2: Convert to fraction form
    50,859.07/70,185.49 = 28,198/x
  3. Step 3: Cross multiply
    50,859.07x = 70,185.49 × 28,198
  4. Step 4: Simplify right side
    50,859.07x = 1,979,090,447.02
  5. Step 5: Solve for x
    x = 1,979,090,447.02/50,859.07
  6. Step 6: Final answer
    x = 38,913.23

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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.