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Finding the Fourth Proportional to 50,646.90, 69,894.45 and 31,794.42

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Solution

The fourth proportional to 50,646.90, 69,894.45 and 31,794.42 is: 43,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,646.90 : 69,894.45 = 31,794.42 : x
  2. Step 2: Convert to fraction form
    50,646.90/69,894.45 = 31,794.42/x
  3. Step 3: Cross multiply
    50,646.90x = 69,894.45 × 31,794.42
  4. Step 4: Simplify right side
    50,646.90x = 2,222,253,498.97
  5. Step 5: Solve for x
    x = 2,222,253,498.97/50,646.90
  6. Step 6: Final answer
    x = 43,877.38

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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.