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Finding the Fourth Proportional to 76,684.36, 115,026.92 and 26,764.24

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Solution

The fourth proportional to 76,684.36, 115,026.92 and 26,764.24 is: 40,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,684.36 : 115,026.92 = 26,764.24 : x
  2. Step 2: Convert to fraction form
    76,684.36/115,026.92 = 26,764.24/x
  3. Step 3: Cross multiply
    76,684.36x = 115,026.92 × 26,764.24
  4. Step 4: Simplify right side
    76,684.36x = 3,078,608,093.34
  5. Step 5: Solve for x
    x = 3,078,608,093.34/76,684.36
  6. Step 6: Final answer
    x = 40,146.49

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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.