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Finding the Fourth Proportional to 51,434.08, 71,002 and 30,214.72

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Solution

The fourth proportional to 51,434.08, 71,002 and 30,214.72 is: 41,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,434.08 : 71,002 = 30,214.72 : x
  2. Step 2: Convert to fraction form
    51,434.08/71,002 = 30,214.72/x
  3. Step 3: Cross multiply
    51,434.08x = 71,002 × 30,214.72
  4. Step 4: Simplify right side
    51,434.08x = 2,145,305,549.44
  5. Step 5: Solve for x
    x = 2,145,305,549.44/51,434.08
  6. Step 6: Final answer
    x = 41,709.81

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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.