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Finding the Fourth Proportional to 50,200.42, 75,307.62 and 16,930

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Solution

The fourth proportional to 50,200.42, 75,307.62 and 16,930 is: 25,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,200.42 : 75,307.62 = 16,930 : x
  2. Step 2: Convert to fraction form
    50,200.42/75,307.62 = 16,930/x
  3. Step 3: Cross multiply
    50,200.42x = 75,307.62 × 16,930
  4. Step 4: Simplify right side
    50,200.42x = 1,274,958,006.60
  5. Step 5: Solve for x
    x = 1,274,958,006.60/50,200.42
  6. Step 6: Final answer
    x = 25,397.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.