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Finding the Fourth Proportional to 34,597.68, 47,745.08 and 19,694.64

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Solution

The fourth proportional to 34,597.68, 47,745.08 and 19,694.64 is: 27,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,597.68 : 47,745.08 = 19,694.64 : x
  2. Step 2: Convert to fraction form
    34,597.68/47,745.08 = 19,694.64/x
  3. Step 3: Cross multiply
    34,597.68x = 47,745.08 × 19,694.64
  4. Step 4: Simplify right side
    34,597.68x = 940,322,162.37
  5. Step 5: Solve for x
    x = 940,322,162.37/34,597.68
  6. Step 6: Final answer
    x = 27,178.76

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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.