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Finding the Fourth Proportional to 48,947.10, 67,450.23 and 34,760.22

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Solution

The fourth proportional to 48,947.10, 67,450.23 and 34,760.22 is: 47,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,947.10 : 67,450.23 = 34,760.22 : x
  2. Step 2: Convert to fraction form
    48,947.10/67,450.23 = 34,760.22/x
  3. Step 3: Cross multiply
    48,947.10x = 67,450.23 × 34,760.22
  4. Step 4: Simplify right side
    48,947.10x = 2,344,584,833.85
  5. Step 5: Solve for x
    x = 2,344,584,833.85/48,947.10
  6. Step 6: Final answer
    x = 47,900.38

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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.