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Finding the Fourth Proportional to 31,403.70, 47,105.55 and 18,270.90

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Solution

The fourth proportional to 31,403.70, 47,105.55 and 18,270.90 is: 27,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,403.70 : 47,105.55 = 18,270.90 : x
  2. Step 2: Convert to fraction form
    31,403.70/47,105.55 = 18,270.90/x
  3. Step 3: Cross multiply
    31,403.70x = 47,105.55 × 18,270.90
  4. Step 4: Simplify right side
    31,403.70x = 860,660,793.50
  5. Step 5: Solve for x
    x = 860,660,793.50/31,403.70
  6. Step 6: Final answer
    x = 27,406.35

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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.