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Finding the Fourth Proportional to 77,166.36, 115,753.50 and 21,766.68

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Solution

The fourth proportional to 77,166.36, 115,753.50 and 21,766.68 is: 32,651.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,166.36 : 115,753.50 = 21,766.68 : x
  2. Step 2: Convert to fraction form
    77,166.36/115,753.50 = 21,766.68/x
  3. Step 3: Cross multiply
    77,166.36x = 115,753.50 × 21,766.68
  4. Step 4: Simplify right side
    77,166.36x = 2,519,569,393.38
  5. Step 5: Solve for x
    x = 2,519,569,393.38/77,166.36
  6. Step 6: Final answer
    x = 32,651.14

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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.