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Finding the Fourth Proportional to 37,563.76, 51,840.49 and 21,649.24

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Solution

The fourth proportional to 37,563.76, 51,840.49 and 21,649.24 is: 29,877.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,563.76 : 51,840.49 = 21,649.24 : x
  2. Step 2: Convert to fraction form
    37,563.76/51,840.49 = 21,649.24/x
  3. Step 3: Cross multiply
    37,563.76x = 51,840.49 × 21,649.24
  4. Step 4: Simplify right side
    37,563.76x = 1,122,307,209.73
  5. Step 5: Solve for x
    x = 1,122,307,209.73/37,563.76
  6. Step 6: Final answer
    x = 29,877.39

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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.