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Finding the Fourth Proportional to 31,069.31, 42,875.82 and 16,922.19

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Solution

The fourth proportional to 31,069.31, 42,875.82 and 16,922.19 is: 23,352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,069.31 : 42,875.82 = 16,922.19 : x
  2. Step 2: Convert to fraction form
    31,069.31/42,875.82 = 16,922.19/x
  3. Step 3: Cross multiply
    31,069.31x = 42,875.82 × 16,922.19
  4. Step 4: Simplify right side
    31,069.31x = 725,552,772.45
  5. Step 5: Solve for x
    x = 725,552,772.45/31,069.31
  6. Step 6: Final answer
    x = 23,352.71

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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.