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Finding the Fourth Proportional to 29,738.78, 44,553.02 and 21,287.84

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Solution

The fourth proportional to 29,738.78, 44,553.02 and 21,287.84 is: 31,892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,738.78 : 44,553.02 = 21,287.84 : x
  2. Step 2: Convert to fraction form
    29,738.78/44,553.02 = 21,287.84/x
  3. Step 3: Cross multiply
    29,738.78x = 44,553.02 × 21,287.84
  4. Step 4: Simplify right side
    29,738.78x = 948,437,561.28
  5. Step 5: Solve for x
    x = 948,437,561.28/29,738.78
  6. Step 6: Final answer
    x = 31,892.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.