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Finding the Fourth Proportional to 30,922.18, 46,380.93 and 9,861.37

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Solution

The fourth proportional to 30,922.18, 46,380.93 and 9,861.37 is: 14,791.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922.18 : 46,380.93 = 9,861.37 : x
  2. Step 2: Convert to fraction form
    30,922.18/46,380.93 = 9,861.37/x
  3. Step 3: Cross multiply
    30,922.18x = 46,380.93 × 9,861.37
  4. Step 4: Simplify right side
    30,922.18x = 457,379,358.74
  5. Step 5: Solve for x
    x = 457,379,358.74/30,922.18
  6. Step 6: Final answer
    x = 14,791.31

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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.