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Finding the Fourth Proportional to 77,268, 115,888.71 and 23,231.88

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Solution

The fourth proportional to 77,268, 115,888.71 and 23,231.88 is: 34,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,268 : 115,888.71 = 23,231.88 : x
  2. Step 2: Convert to fraction form
    77,268/115,888.71 = 23,231.88/x
  3. Step 3: Cross multiply
    77,268x = 115,888.71 × 23,231.88
  4. Step 4: Simplify right side
    77,268x = 2,692,312,604.07
  5. Step 5: Solve for x
    x = 2,692,312,604.07/77,268
  6. Step 6: Final answer
    x = 34,843.82

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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.