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Finding the Fourth Proportional to 114,559.20, 171,906 and 47,994.24

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Solution

The fourth proportional to 114,559.20, 171,906 and 47,994.24 is: 72,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,559.20 : 171,906 = 47,994.24 : x
  2. Step 2: Convert to fraction form
    114,559.20/171,906 = 47,994.24/x
  3. Step 3: Cross multiply
    114,559.20x = 171,906 × 47,994.24
  4. Step 4: Simplify right side
    114,559.20x = 8,250,497,821.44
  5. Step 5: Solve for x
    x = 8,250,497,821.44/114,559.20
  6. Step 6: Final answer
    x = 72,019.51

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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.