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Finding the Fourth Proportional to 30,774.30, 46,163.70 and 12,052.65

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Solution

The fourth proportional to 30,774.30, 46,163.70 and 12,052.65 is: 18,079.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774.30 : 46,163.70 = 12,052.65 : x
  2. Step 2: Convert to fraction form
    30,774.30/46,163.70 = 12,052.65/x
  3. Step 3: Cross multiply
    30,774.30x = 46,163.70 × 12,052.65
  4. Step 4: Simplify right side
    30,774.30x = 556,394,918.81
  5. Step 5: Solve for x
    x = 556,394,918.81/30,774.30
  6. Step 6: Final answer
    x = 18,079.86

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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.