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Finding the Fourth Proportional to 73,512, 110,261.43 and 23,578.53

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Solution

The fourth proportional to 73,512, 110,261.43 and 23,578.53 is: 35,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,512 : 110,261.43 = 23,578.53 : x
  2. Step 2: Convert to fraction form
    73,512/110,261.43 = 23,578.53/x
  3. Step 3: Cross multiply
    73,512x = 110,261.43 × 23,578.53
  4. Step 4: Simplify right side
    73,512x = 2,599,802,435.10
  5. Step 5: Solve for x
    x = 2,599,802,435.10/73,512
  6. Step 6: Final answer
    x = 35,365.69

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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.