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Finding the Fourth Proportional to 77,186.28, 115,763.23 and 21,769.32

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Solution

The fourth proportional to 77,186.28, 115,763.23 and 21,769.32 is: 32,649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,186.28 : 115,763.23 = 21,769.32 : x
  2. Step 2: Convert to fraction form
    77,186.28/115,763.23 = 21,769.32/x
  3. Step 3: Cross multiply
    77,186.28x = 115,763.23 × 21,769.32
  4. Step 4: Simplify right side
    77,186.28x = 2,520,087,136.97
  5. Step 5: Solve for x
    x = 2,520,087,136.97/77,186.28
  6. Step 6: Final answer
    x = 32,649.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.