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Finding the Fourth Proportional to 31,649.94, 43,675.61 and 18,222.57

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Solution

The fourth proportional to 31,649.94, 43,675.61 and 18,222.57 is: 25,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,649.94 : 43,675.61 = 18,222.57 : x
  2. Step 2: Convert to fraction form
    31,649.94/43,675.61 = 18,222.57/x
  3. Step 3: Cross multiply
    31,649.94x = 43,675.61 × 18,222.57
  4. Step 4: Simplify right side
    31,649.94x = 795,881,769.40
  5. Step 5: Solve for x
    x = 795,881,769.40/31,649.94
  6. Step 6: Final answer
    x = 25,146.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.