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Finding the Fourth Proportional to 50,092.80, 75,132.72 and 18,924

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Solution

The fourth proportional to 50,092.80, 75,132.72 and 18,924 is: 28,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,092.80 : 75,132.72 = 18,924 : x
  2. Step 2: Convert to fraction form
    50,092.80/75,132.72 = 18,924/x
  3. Step 3: Cross multiply
    50,092.80x = 75,132.72 × 18,924
  4. Step 4: Simplify right side
    50,092.80x = 1,421,811,593.28
  5. Step 5: Solve for x
    x = 1,421,811,593.28/50,092.80
  6. Step 6: Final answer
    x = 28,383.55

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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.