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Finding the Fourth Proportional to 73,573.78, 110,361.70 and 20,983.26

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Solution

The fourth proportional to 73,573.78, 110,361.70 and 20,983.26 is: 31,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,573.78 : 110,361.70 = 20,983.26 : x
  2. Step 2: Convert to fraction form
    73,573.78/110,361.70 = 20,983.26/x
  3. Step 3: Cross multiply
    73,573.78x = 110,361.70 × 20,983.26
  4. Step 4: Simplify right side
    73,573.78x = 2,315,748,245.14
  5. Step 5: Solve for x
    x = 2,315,748,245.14/73,573.78
  6. Step 6: Final answer
    x = 31,475.18

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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.