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Finding the Fourth Proportional to 30,346.05, 41,858 and 20,136.86

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Solution

The fourth proportional to 30,346.05, 41,858 and 20,136.86 is: 27,775.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,346.05 : 41,858 = 20,136.86 : x
  2. Step 2: Convert to fraction form
    30,346.05/41,858 = 20,136.86/x
  3. Step 3: Cross multiply
    30,346.05x = 41,858 × 20,136.86
  4. Step 4: Simplify right side
    30,346.05x = 842,888,685.88
  5. Step 5: Solve for x
    x = 842,888,685.88/30,346.05
  6. Step 6: Final answer
    x = 27,775.89

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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.