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Finding the Fourth Proportional to 41,404.68, 62,085 and 30,338.40

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Solution

The fourth proportional to 41,404.68, 62,085 and 30,338.40 is: 45,491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,404.68 : 62,085 = 30,338.40 : x
  2. Step 2: Convert to fraction form
    41,404.68/62,085 = 30,338.40/x
  3. Step 3: Cross multiply
    41,404.68x = 62,085 × 30,338.40
  4. Step 4: Simplify right side
    41,404.68x = 1,883,559,564
  5. Step 5: Solve for x
    x = 1,883,559,564/41,404.68
  6. Step 6: Final answer
    x = 45,491.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.