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Finding the Fourth Proportional to 34,745.44, 47,905.68 and 23,548

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Solution

The fourth proportional to 34,745.44, 47,905.68 and 23,548 is: 32,467.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,745.44 : 47,905.68 = 23,548 : x
  2. Step 2: Convert to fraction form
    34,745.44/47,905.68 = 23,548/x
  3. Step 3: Cross multiply
    34,745.44x = 47,905.68 × 23,548
  4. Step 4: Simplify right side
    34,745.44x = 1,128,082,952.64
  5. Step 5: Solve for x
    x = 1,128,082,952.64/34,745.44
  6. Step 6: Final answer
    x = 32,467.08

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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.