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Finding the Fourth Proportional to 31,135.69, 46,703.09 and 14,486.41

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Solution

The fourth proportional to 31,135.69, 46,703.09 and 14,486.41 is: 21,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,135.69 : 46,703.09 = 14,486.41 : x
  2. Step 2: Convert to fraction form
    31,135.69/46,703.09 = 14,486.41/x
  3. Step 3: Cross multiply
    31,135.69x = 46,703.09 × 14,486.41
  4. Step 4: Simplify right side
    31,135.69x = 676,560,110.01
  5. Step 5: Solve for x
    x = 676,560,110.01/31,135.69
  6. Step 6: Final answer
    x = 21,729.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.