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Finding the Fourth Proportional to 37,238.82, 51,401.56 and 23,846.16

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Solution

The fourth proportional to 37,238.82, 51,401.56 and 23,846.16 is: 32,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,238.82 : 51,401.56 = 23,846.16 : x
  2. Step 2: Convert to fraction form
    37,238.82/51,401.56 = 23,846.16/x
  3. Step 3: Cross multiply
    37,238.82x = 51,401.56 × 23,846.16
  4. Step 4: Simplify right side
    37,238.82x = 1,225,729,824.01
  5. Step 5: Solve for x
    x = 1,225,729,824.01/37,238.82
  6. Step 6: Final answer
    x = 32,915.38

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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.