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Finding the Fourth Proportional to 31,015.75, 46,516.63 and 8,828.63

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Solution

The fourth proportional to 31,015.75, 46,516.63 and 8,828.63 is: 13,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,015.75 : 46,516.63 = 8,828.63 : x
  2. Step 2: Convert to fraction form
    31,015.75/46,516.63 = 8,828.63/x
  3. Step 3: Cross multiply
    31,015.75x = 46,516.63 × 8,828.63
  4. Step 4: Simplify right side
    31,015.75x = 410,678,115.12
  5. Step 5: Solve for x
    x = 410,678,115.12/31,015.75
  6. Step 6: Final answer
    x = 13,240.95

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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.