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Finding the Fourth Proportional to 31,586.93, 47,379.94 and 9,400.42

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Solution

The fourth proportional to 31,586.93, 47,379.94 and 9,400.42 is: 14,100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,586.93 : 47,379.94 = 9,400.42 : x
  2. Step 2: Convert to fraction form
    31,586.93/47,379.94 = 9,400.42/x
  3. Step 3: Cross multiply
    31,586.93x = 47,379.94 × 9,400.42
  4. Step 4: Simplify right side
    31,586.93x = 445,391,193.62
  5. Step 5: Solve for x
    x = 445,391,193.62/31,586.93
  6. Step 6: Final answer
    x = 14,100.49

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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.