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Finding the Fourth Proportional to 31,004.41, 46,506.50 and 8,515.10

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Solution

The fourth proportional to 31,004.41, 46,506.50 and 8,515.10 is: 12,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,004.41 : 46,506.50 = 8,515.10 : x
  2. Step 2: Convert to fraction form
    31,004.41/46,506.50 = 8,515.10/x
  3. Step 3: Cross multiply
    31,004.41x = 46,506.50 × 8,515.10
  4. Step 4: Simplify right side
    31,004.41x = 396,007,738.87
  5. Step 5: Solve for x
    x = 396,007,738.87/31,004.41
  6. Step 6: Final answer
    x = 12,772.63

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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.