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Finding the Fourth Proportional to 37,644.84, 51,948 and 21,728.34

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Solution

The fourth proportional to 37,644.84, 51,948 and 21,728.34 is: 29,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,644.84 : 51,948 = 21,728.34 : x
  2. Step 2: Convert to fraction form
    37,644.84/51,948 = 21,728.34/x
  3. Step 3: Cross multiply
    37,644.84x = 51,948 × 21,728.34
  4. Step 4: Simplify right side
    37,644.84x = 1,128,743,806.32
  5. Step 5: Solve for x
    x = 1,128,743,806.32/37,644.84
  6. Step 6: Final answer
    x = 29,984.02

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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.