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Finding the Fourth Proportional to 30,945, 42,704.10 and 16,797.96

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Solution

The fourth proportional to 30,945, 42,704.10 and 16,797.96 is: 23,181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,945 : 42,704.10 = 16,797.96 : x
  2. Step 2: Convert to fraction form
    30,945/42,704.10 = 16,797.96/x
  3. Step 3: Cross multiply
    30,945x = 42,704.10 × 16,797.96
  4. Step 4: Simplify right side
    30,945x = 717,341,763.64
  5. Step 5: Solve for x
    x = 717,341,763.64/30,945
  6. Step 6: Final answer
    x = 23,181.18

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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.