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Finding the Fourth Proportional to 30,137.96, 41,590.68 and 16,709.42

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Solution

The fourth proportional to 30,137.96, 41,590.68 and 16,709.42 is: 23,059.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,137.96 : 41,590.68 = 16,709.42 : x
  2. Step 2: Convert to fraction form
    30,137.96/41,590.68 = 16,709.42/x
  3. Step 3: Cross multiply
    30,137.96x = 41,590.68 × 16,709.42
  4. Step 4: Simplify right side
    30,137.96x = 694,956,140.21
  5. Step 5: Solve for x
    x = 694,956,140.21/30,137.96
  6. Step 6: Final answer
    x = 23,059.16

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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.