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Finding the Fourth Proportional to 50,864.98, 70,191.62 and 27,894.33

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Solution

The fourth proportional to 50,864.98, 70,191.62 and 27,894.33 is: 38,493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,864.98 : 70,191.62 = 27,894.33 : x
  2. Step 2: Convert to fraction form
    50,864.98/70,191.62 = 27,894.33/x
  3. Step 3: Cross multiply
    50,864.98x = 70,191.62 × 27,894.33
  4. Step 4: Simplify right side
    50,864.98x = 1,957,948,211.51
  5. Step 5: Solve for x
    x = 1,957,948,211.51/50,864.98
  6. Step 6: Final answer
    x = 38,493.05

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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.