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Finding the Fourth Proportional to 34,760.44, 47,926.38 and 23,563

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Solution

The fourth proportional to 34,760.44, 47,926.38 and 23,563 is: 32,487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,760.44 : 47,926.38 = 23,563 : x
  2. Step 2: Convert to fraction form
    34,760.44/47,926.38 = 23,563/x
  3. Step 3: Cross multiply
    34,760.44x = 47,926.38 × 23,563
  4. Step 4: Simplify right side
    34,760.44x = 1,129,289,291.94
  5. Step 5: Solve for x
    x = 1,129,289,291.94/34,760.44
  6. Step 6: Final answer
    x = 32,487.77

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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.