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Finding the Fourth Proportional to 75,954, 113,927.56 and 23,361.20

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Solution

The fourth proportional to 75,954, 113,927.56 and 23,361.20 is: 35,040.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,954 : 113,927.56 = 23,361.20 : x
  2. Step 2: Convert to fraction form
    75,954/113,927.56 = 23,361.20/x
  3. Step 3: Cross multiply
    75,954x = 113,927.56 × 23,361.20
  4. Step 4: Simplify right side
    75,954x = 2,661,484,514.67
  5. Step 5: Solve for x
    x = 2,661,484,514.67/75,954
  6. Step 6: Final answer
    x = 35,040.74

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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.