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Finding the Fourth Proportional to 96,912.80, 145,378.80 and 33,723.20

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Solution

The fourth proportional to 96,912.80, 145,378.80 and 33,723.20 is: 50,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,912.80 : 145,378.80 = 33,723.20 : x
  2. Step 2: Convert to fraction form
    96,912.80/145,378.80 = 33,723.20/x
  3. Step 3: Cross multiply
    96,912.80x = 145,378.80 × 33,723.20
  4. Step 4: Simplify right side
    96,912.80x = 4,902,638,348.16
  5. Step 5: Solve for x
    x = 4,902,638,348.16/96,912.80
  6. Step 6: Final answer
    x = 50,588.14

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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.