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Finding the Fourth Proportional to 34,589.57, 47,737 and 20,248.54

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Solution

The fourth proportional to 34,589.57, 47,737 and 20,248.54 is: 27,944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,589.57 : 47,737 = 20,248.54 : x
  2. Step 2: Convert to fraction form
    34,589.57/47,737 = 20,248.54/x
  3. Step 3: Cross multiply
    34,589.57x = 47,737 × 20,248.54
  4. Step 4: Simplify right side
    34,589.57x = 966,604,553.98
  5. Step 5: Solve for x
    x = 966,604,553.98/34,589.57
  6. Step 6: Final answer
    x = 27,944.97

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1.5x scale

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.