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Finding the Fourth Proportional to 30,945.24, 42,704.82 and 16,798.32

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Solution

The fourth proportional to 30,945.24, 42,704.82 and 16,798.32 is: 23,181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,945.24 : 42,704.82 = 16,798.32 : x
  2. Step 2: Convert to fraction form
    30,945.24/42,704.82 = 16,798.32/x
  3. Step 3: Cross multiply
    30,945.24x = 42,704.82 × 16,798.32
  4. Step 4: Simplify right side
    30,945.24x = 717,369,231.90
  5. Step 5: Solve for x
    x = 717,369,231.90/30,945.24
  6. Step 6: Final answer
    x = 23,181.89

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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.