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Finding the Fourth Proportional to 50,491, 75,757.98 and 20,930.32

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Solution

The fourth proportional to 50,491, 75,757.98 and 20,930.32 is: 31,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,491 : 75,757.98 = 20,930.32 : x
  2. Step 2: Convert to fraction form
    50,491/75,757.98 = 20,930.32/x
  3. Step 3: Cross multiply
    50,491x = 75,757.98 × 20,930.32
  4. Step 4: Simplify right side
    50,491x = 1,585,638,763.95
  5. Step 5: Solve for x
    x = 1,585,638,763.95/50,491
  6. Step 6: Final answer
    x = 31,404.38

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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.