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Finding the Fourth Proportional to 65,202, 89,983.26 and 36,907.80

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Solution

The fourth proportional to 65,202, 89,983.26 and 36,907.80 is: 50,935.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,202 : 89,983.26 = 36,907.80 : x
  2. Step 2: Convert to fraction form
    65,202/89,983.26 = 36,907.80/x
  3. Step 3: Cross multiply
    65,202x = 89,983.26 × 36,907.80
  4. Step 4: Simplify right side
    65,202x = 3,321,084,163.43
  5. Step 5: Solve for x
    x = 3,321,084,163.43/65,202
  6. Step 6: Final answer
    x = 50,935.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.