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Finding the Fourth Proportional to 47,674, 65,790.12 and 30,907

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Solution

The fourth proportional to 47,674, 65,790.12 and 30,907 is: 42,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,674 : 65,790.12 = 30,907 : x
  2. Step 2: Convert to fraction form
    47,674/65,790.12 = 30,907/x
  3. Step 3: Cross multiply
    47,674x = 65,790.12 × 30,907
  4. Step 4: Simplify right side
    47,674x = 2,033,375,238.84
  5. Step 5: Solve for x
    x = 2,033,375,238.84/47,674
  6. Step 6: Final answer
    x = 42,651.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.