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Finding the Fourth Proportional to 31,069.88, 42,876.50 and 16,922.68

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Solution

The fourth proportional to 31,069.88, 42,876.50 and 16,922.68 is: 23,353.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,069.88 : 42,876.50 = 16,922.68 : x
  2. Step 2: Convert to fraction form
    31,069.88/42,876.50 = 16,922.68/x
  3. Step 3: Cross multiply
    31,069.88x = 42,876.50 × 16,922.68
  4. Step 4: Simplify right side
    31,069.88x = 725,585,289.02
  5. Step 5: Solve for x
    x = 725,585,289.02/31,069.88
  6. Step 6: Final answer
    x = 23,353.33

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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.