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Finding the Fourth Proportional to 30,922.36, 42,672.90 and 16,775.24

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Solution

The fourth proportional to 30,922.36, 42,672.90 and 16,775.24 is: 23,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922.36 : 42,672.90 = 16,775.24 : x
  2. Step 2: Convert to fraction form
    30,922.36/42,672.90 = 16,775.24/x
  3. Step 3: Cross multiply
    30,922.36x = 42,672.90 × 16,775.24
  4. Step 4: Simplify right side
    30,922.36x = 715,848,139.00
  5. Step 5: Solve for x
    x = 715,848,139.00/30,922.36
  6. Step 6: Final answer
    x = 23,149.85

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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.