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Finding the Fourth Proportional to 34,744.38, 47,947.86 and 18,829.50

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Solution

The fourth proportional to 34,744.38, 47,947.86 and 18,829.50 is: 25,985.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,744.38 : 47,947.86 = 18,829.50 : x
  2. Step 2: Convert to fraction form
    34,744.38/47,947.86 = 18,829.50/x
  3. Step 3: Cross multiply
    34,744.38x = 47,947.86 × 18,829.50
  4. Step 4: Simplify right side
    34,744.38x = 902,834,229.87
  5. Step 5: Solve for x
    x = 902,834,229.87/34,744.38
  6. Step 6: Final answer
    x = 25,985.04

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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.