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Finding the Fourth Proportional to 45,793.73, 68,572.30 and 31,606

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Solution

The fourth proportional to 45,793.73, 68,572.30 and 31,606 is: 47,327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,793.73 : 68,572.30 = 31,606 : x
  2. Step 2: Convert to fraction form
    45,793.73/68,572.30 = 31,606/x
  3. Step 3: Cross multiply
    45,793.73x = 68,572.30 × 31,606
  4. Step 4: Simplify right side
    45,793.73x = 2,167,296,113.80
  5. Step 5: Solve for x
    x = 2,167,296,113.80/45,793.73
  6. Step 6: Final answer
    x = 47,327.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.