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Finding the Fourth Proportional to 34,750.28, 47,952.50 and 19,644.28

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Solution

The fourth proportional to 34,750.28, 47,952.50 and 19,644.28 is: 27,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,750.28 : 47,952.50 = 19,644.28 : x
  2. Step 2: Convert to fraction form
    34,750.28/47,952.50 = 19,644.28/x
  3. Step 3: Cross multiply
    34,750.28x = 47,952.50 × 19,644.28
  4. Step 4: Simplify right side
    34,750.28x = 941,992,336.70
  5. Step 5: Solve for x
    x = 941,992,336.70/34,750.28
  6. Step 6: Final answer
    x = 27,107.47

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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.