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Finding the Fourth Proportional to 30,343.42, 41,866.86 and 18,404.38

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Solution

The fourth proportional to 30,343.42, 41,866.86 and 18,404.38 is: 25,393.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,343.42 : 41,866.86 = 18,404.38 : x
  2. Step 2: Convert to fraction form
    30,343.42/41,866.86 = 18,404.38/x
  3. Step 3: Cross multiply
    30,343.42x = 41,866.86 × 18,404.38
  4. Step 4: Simplify right side
    30,343.42x = 770,533,600.85
  5. Step 5: Solve for x
    x = 770,533,600.85/30,343.42
  6. Step 6: Final answer
    x = 25,393.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.