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Finding the Fourth Proportional to 31,954.46, 47,929.91 and 9,767.82

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Solution

The fourth proportional to 31,954.46, 47,929.91 and 9,767.82 is: 14,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,954.46 : 47,929.91 = 9,767.82 : x
  2. Step 2: Convert to fraction form
    31,954.46/47,929.91 = 9,767.82/x
  3. Step 3: Cross multiply
    31,954.46x = 47,929.91 × 9,767.82
  4. Step 4: Simplify right side
    31,954.46x = 468,170,684.66
  5. Step 5: Solve for x
    x = 468,170,684.66/31,954.46
  6. Step 6: Final answer
    x = 14,651.19

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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.