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Finding the Fourth Proportional to 37,563.50, 51,837.14 and 21,649.43

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Solution

The fourth proportional to 37,563.50, 51,837.14 and 21,649.43 is: 29,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,563.50 : 51,837.14 = 21,649.43 : x
  2. Step 2: Convert to fraction form
    37,563.50/51,837.14 = 21,649.43/x
  3. Step 3: Cross multiply
    37,563.50x = 51,837.14 × 21,649.43
  4. Step 4: Simplify right side
    37,563.50x = 1,122,244,166.40
  5. Step 5: Solve for x
    x = 1,122,244,166.40/37,563.50
  6. Step 6: Final answer
    x = 29,875.93

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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.