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Finding the Fourth Proportional to 77,414.33, 116,093.64 and 26,799.63

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Solution

The fourth proportional to 77,414.33, 116,093.64 and 26,799.63 is: 40,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,414.33 : 116,093.64 = 26,799.63 : x
  2. Step 2: Convert to fraction form
    77,414.33/116,093.64 = 26,799.63/x
  3. Step 3: Cross multiply
    77,414.33x = 116,093.64 × 26,799.63
  4. Step 4: Simplify right side
    77,414.33x = 3,111,266,262.50
  5. Step 5: Solve for x
    x = 3,111,266,262.50/77,414.33
  6. Step 6: Final answer
    x = 40,189.80

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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.