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Finding the Fourth Proportional to 31,180.41, 46,786.41 and 13,650.39

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Solution

The fourth proportional to 31,180.41, 46,786.41 and 13,650.39 is: 20,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,180.41 : 46,786.41 = 13,650.39 : x
  2. Step 2: Convert to fraction form
    31,180.41/46,786.41 = 13,650.39/x
  3. Step 3: Cross multiply
    31,180.41x = 46,786.41 × 13,650.39
  4. Step 4: Simplify right side
    31,180.41x = 638,652,743.20
  5. Step 5: Solve for x
    x = 638,652,743.20/31,180.41
  6. Step 6: Final answer
    x = 20,482.50

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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.