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Finding the Fourth Proportional to 37,567.54, 51,843.23 and 23,420.44

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Solution

The fourth proportional to 37,567.54, 51,843.23 and 23,420.44 is: 32,320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,567.54 : 51,843.23 = 23,420.44 : x
  2. Step 2: Convert to fraction form
    37,567.54/51,843.23 = 23,420.44/x
  3. Step 3: Cross multiply
    37,567.54x = 51,843.23 × 23,420.44
  4. Step 4: Simplify right side
    37,567.54x = 1,214,191,257.62
  5. Step 5: Solve for x
    x = 1,214,191,257.62/37,567.54
  6. Step 6: Final answer
    x = 32,320.22

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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.