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Finding the Fourth Proportional to 30,771.38, 46,161.53 and 9,704.30

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Solution

The fourth proportional to 30,771.38, 46,161.53 and 9,704.30 is: 14,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.38 : 46,161.53 = 9,704.30 : x
  2. Step 2: Convert to fraction form
    30,771.38/46,161.53 = 9,704.30/x
  3. Step 3: Cross multiply
    30,771.38x = 46,161.53 × 9,704.30
  4. Step 4: Simplify right side
    30,771.38x = 447,965,056.25
  5. Step 5: Solve for x
    x = 447,965,056.25/30,771.38
  6. Step 6: Final answer
    x = 14,557.85

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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.