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Finding the Fourth Proportional to 34,735.91, 47,896.80 and 25,156.85

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Solution

The fourth proportional to 34,735.91, 47,896.80 and 25,156.85 is: 34,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,735.91 : 47,896.80 = 25,156.85 : x
  2. Step 2: Convert to fraction form
    34,735.91/47,896.80 = 25,156.85/x
  3. Step 3: Cross multiply
    34,735.91x = 47,896.80 × 25,156.85
  4. Step 4: Simplify right side
    34,735.91x = 1,204,932,613.08
  5. Step 5: Solve for x
    x = 1,204,932,613.08/34,735.91
  6. Step 6: Final answer
    x = 34,688.38

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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.