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Finding the Fourth Proportional to 36,106.46, 54,172.52 and 16,114.14

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Solution

The fourth proportional to 36,106.46, 54,172.52 and 16,114.14 is: 24,176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,106.46 : 54,172.52 = 16,114.14 : x
  2. Step 2: Convert to fraction form
    36,106.46/54,172.52 = 16,114.14/x
  3. Step 3: Cross multiply
    36,106.46x = 54,172.52 × 16,114.14
  4. Step 4: Simplify right side
    36,106.46x = 872,943,571.43
  5. Step 5: Solve for x
    x = 872,943,571.43/36,106.46
  6. Step 6: Final answer
    x = 24,176.94

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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.