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Finding the Fourth Proportional to 30,138.42, 41,590.82 and 16,709.68

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Solution

The fourth proportional to 30,138.42, 41,590.82 and 16,709.68 is: 23,059.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.42 : 41,590.82 = 16,709.68 : x
  2. Step 2: Convert to fraction form
    30,138.42/41,590.82 = 16,709.68/x
  3. Step 3: Cross multiply
    30,138.42x = 41,590.82 × 16,709.68
  4. Step 4: Simplify right side
    30,138.42x = 694,969,058.96
  5. Step 5: Solve for x
    x = 694,969,058.96/30,138.42
  6. Step 6: Final answer
    x = 23,059.24

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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.