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Finding the Fourth Proportional to 30,963.97, 46,446.09 and 7,590.43

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Solution

The fourth proportional to 30,963.97, 46,446.09 and 7,590.43 is: 11,385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,963.97 : 46,446.09 = 7,590.43 : x
  2. Step 2: Convert to fraction form
    30,963.97/46,446.09 = 7,590.43/x
  3. Step 3: Cross multiply
    30,963.97x = 46,446.09 × 7,590.43
  4. Step 4: Simplify right side
    30,963.97x = 352,545,794.92
  5. Step 5: Solve for x
    x = 352,545,794.92/30,963.97
  6. Step 6: Final answer
    x = 11,385.68

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