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Finding the Fourth Proportional to 31,649.69, 43,674.80 and 17,306.67

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Solution

The fourth proportional to 31,649.69, 43,674.80 and 17,306.67 is: 23,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,649.69 : 43,674.80 = 17,306.67 : x
  2. Step 2: Convert to fraction form
    31,649.69/43,674.80 = 17,306.67/x
  3. Step 3: Cross multiply
    31,649.69x = 43,674.80 × 17,306.67
  4. Step 4: Simplify right side
    31,649.69x = 755,865,503.37
  5. Step 5: Solve for x
    x = 755,865,503.37/31,649.69
  6. Step 6: Final answer
    x = 23,882.24

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