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Finding the Fourth Proportional to 31,059.40, 42,860.68 and 16,912.21

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Solution

The fourth proportional to 31,059.40, 42,860.68 and 16,912.21 is: 23,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,059.40 : 42,860.68 = 16,912.21 : x
  2. Step 2: Convert to fraction form
    31,059.40/42,860.68 = 16,912.21/x
  3. Step 3: Cross multiply
    31,059.40x = 42,860.68 × 16,912.21
  4. Step 4: Simplify right side
    31,059.40x = 724,868,820.90
  5. Step 5: Solve for x
    x = 724,868,820.90/31,059.40
  6. Step 6: Final answer
    x = 23,338.15

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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.