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Finding the Fourth Proportional to 72,796.14, 109,220.48 and 25,418.22

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Solution

The fourth proportional to 72,796.14, 109,220.48 and 25,418.22 is: 38,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,796.14 : 109,220.48 = 25,418.22 : x
  2. Step 2: Convert to fraction form
    72,796.14/109,220.48 = 25,418.22/x
  3. Step 3: Cross multiply
    72,796.14x = 109,220.48 × 25,418.22
  4. Step 4: Simplify right side
    72,796.14x = 2,776,190,189.15
  5. Step 5: Solve for x
    x = 2,776,190,189.15/72,796.14
  6. Step 6: Final answer
    x = 38,136.50

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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.