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Finding the Fourth Proportional to 50,175.84, 75,265.84 and 20,572.80

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Solution

The fourth proportional to 50,175.84, 75,265.84 and 20,572.80 is: 30,860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,175.84 : 75,265.84 = 20,572.80 : x
  2. Step 2: Convert to fraction form
    50,175.84/75,265.84 = 20,572.80/x
  3. Step 3: Cross multiply
    50,175.84x = 75,265.84 × 20,572.80
  4. Step 4: Simplify right side
    50,175.84x = 1,548,429,073.15
  5. Step 5: Solve for x
    x = 1,548,429,073.15/50,175.84
  6. Step 6: Final answer
    x = 30,860.05

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