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Finding the Fourth Proportional to 30,322, 41,842.74 and 16,709.59

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Solution

The fourth proportional to 30,322, 41,842.74 and 16,709.59 is: 23,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,322 : 41,842.74 = 16,709.59 : x
  2. Step 2: Convert to fraction form
    30,322/41,842.74 = 16,709.59/x
  3. Step 3: Cross multiply
    30,322x = 41,842.74 × 16,709.59
  4. Step 4: Simplify right side
    30,322x = 699,175,029.88
  5. Step 5: Solve for x
    x = 699,175,029.88/30,322
  6. Step 6: Final answer
    x = 23,058.34

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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.