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Finding the Fourth Proportional to 65,362.14, 98,033.92 and 20,983.15

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Solution

The fourth proportional to 65,362.14, 98,033.92 and 20,983.15 is: 31,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,362.14 : 98,033.92 = 20,983.15 : x
  2. Step 2: Convert to fraction form
    65,362.14/98,033.92 = 20,983.15/x
  3. Step 3: Cross multiply
    65,362.14x = 98,033.92 × 20,983.15
  4. Step 4: Simplify right side
    65,362.14x = 2,057,060,448.45
  5. Step 5: Solve for x
    x = 2,057,060,448.45/65,362.14
  6. Step 6: Final answer
    x = 31,471.74

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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.