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Finding the Fourth Proportional to 41,647.26, 57,473.15 and 22,784.38

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Solution

The fourth proportional to 41,647.26, 57,473.15 and 22,784.38 is: 31,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,647.26 : 57,473.15 = 22,784.38 : x
  2. Step 2: Convert to fraction form
    41,647.26/57,473.15 = 22,784.38/x
  3. Step 3: Cross multiply
    41,647.26x = 57,473.15 × 22,784.38
  4. Step 4: Simplify right side
    41,647.26x = 1,309,490,089.40
  5. Step 5: Solve for x
    x = 1,309,490,089.40/41,647.26
  6. Step 6: Final answer
    x = 31,442.41

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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.