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Finding the Fourth Proportional to 31,135.44, 46,720.44 and 12,666

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Solution

The fourth proportional to 31,135.44, 46,720.44 and 12,666 is: 19,006.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,135.44 : 46,720.44 = 12,666 : x
  2. Step 2: Convert to fraction form
    31,135.44/46,720.44 = 12,666/x
  3. Step 3: Cross multiply
    31,135.44x = 46,720.44 × 12,666
  4. Step 4: Simplify right side
    31,135.44x = 591,761,093.04
  5. Step 5: Solve for x
    x = 591,761,093.04/31,135.44
  6. Step 6: Final answer
    x = 19,006.03

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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.