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Finding the Fourth Proportional to 31,149.97, 46,717.97 and 8,958.40

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Solution

The fourth proportional to 31,149.97, 46,717.97 and 8,958.40 is: 13,435.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,149.97 : 46,717.97 = 8,958.40 : x
  2. Step 2: Convert to fraction form
    31,149.97/46,717.97 = 8,958.40/x
  3. Step 3: Cross multiply
    31,149.97x = 46,717.97 × 8,958.40
  4. Step 4: Simplify right side
    31,149.97x = 418,518,100.86
  5. Step 5: Solve for x
    x = 418,518,100.86/31,149.97
  6. Step 6: Final answer
    x = 13,435.59

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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.