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Finding the Fourth Proportional to 34,464.26, 47,578.74 and 23,193.02

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Solution

The fourth proportional to 34,464.26, 47,578.74 and 23,193.02 is: 32,018.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,464.26 : 47,578.74 = 23,193.02 : x
  2. Step 2: Convert to fraction form
    34,464.26/47,578.74 = 23,193.02/x
  3. Step 3: Cross multiply
    34,464.26x = 47,578.74 × 23,193.02
  4. Step 4: Simplify right side
    34,464.26x = 1,103,494,668.39
  5. Step 5: Solve for x
    x = 1,103,494,668.39/34,464.26
  6. Step 6: Final answer
    x = 32,018.52

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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.