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Finding the Fourth Proportional to 65,362.35, 98,034.27 and 20,983.26

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Solution

The fourth proportional to 65,362.35, 98,034.27 and 20,983.26 is: 31,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,362.35 : 98,034.27 = 20,983.26 : x
  2. Step 2: Convert to fraction form
    65,362.35/98,034.27 = 20,983.26/x
  3. Step 3: Cross multiply
    65,362.35x = 98,034.27 × 20,983.26
  4. Step 4: Simplify right side
    65,362.35x = 2,057,078,576.32
  5. Step 5: Solve for x
    x = 2,057,078,576.32/65,362.35
  6. Step 6: Final answer
    x = 31,471.92

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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.