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Finding the Fourth Proportional to 38,983.21, 53,793.74 and 21,982.01

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Solution

The fourth proportional to 38,983.21, 53,793.74 and 21,982.01 is: 30,333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,983.21 : 53,793.74 = 21,982.01 : x
  2. Step 2: Convert to fraction form
    38,983.21/53,793.74 = 21,982.01/x
  3. Step 3: Cross multiply
    38,983.21x = 53,793.74 × 21,982.01
  4. Step 4: Simplify right side
    38,983.21x = 1,182,494,316.60
  5. Step 5: Solve for x
    x = 1,182,494,316.60/38,983.21
  6. Step 6: Final answer
    x = 30,333.43

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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.