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Finding the Fourth Proportional to 36,968, 51,016.20 and 20,201

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Solution

The fourth proportional to 36,968, 51,016.20 and 20,201 is: 27,877.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,968 : 51,016.20 = 20,201 : x
  2. Step 2: Convert to fraction form
    36,968/51,016.20 = 20,201/x
  3. Step 3: Cross multiply
    36,968x = 51,016.20 × 20,201
  4. Step 4: Simplify right side
    36,968x = 1,030,578,256.20
  5. Step 5: Solve for x
    x = 1,030,578,256.20/36,968
  6. Step 6: Final answer
    x = 27,877.58

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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.