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Finding the Fourth Proportional to 31,164.88, 46,764.33 and 18,042.88

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Solution

The fourth proportional to 31,164.88, 46,764.33 and 18,042.88 is: 27,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164.88 : 46,764.33 = 18,042.88 : x
  2. Step 2: Convert to fraction form
    31,164.88/46,764.33 = 18,042.88/x
  3. Step 3: Cross multiply
    31,164.88x = 46,764.33 × 18,042.88
  4. Step 4: Simplify right side
    31,164.88x = 843,763,194.47
  5. Step 5: Solve for x
    x = 843,763,194.47/31,164.88
  6. Step 6: Final answer
    x = 27,074.17

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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.