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Finding the Fourth Proportional to 34,311.56, 47,345.63 and 19,976.02

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Solution

The fourth proportional to 34,311.56, 47,345.63 and 19,976.02 is: 27,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,311.56 : 47,345.63 = 19,976.02 : x
  2. Step 2: Convert to fraction form
    34,311.56/47,345.63 = 19,976.02/x
  3. Step 3: Cross multiply
    34,311.56x = 47,345.63 × 19,976.02
  4. Step 4: Simplify right side
    34,311.56x = 945,777,033.55
  5. Step 5: Solve for x
    x = 945,777,033.55/34,311.56
  6. Step 6: Final answer
    x = 27,564.39

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Why These Related Problems?

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