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Finding the Fourth Proportional to 77,488.67, 116,233 and 30,741.54

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Solution

The fourth proportional to 77,488.67, 116,233 and 30,741.54 is: 46,112.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,488.67 : 116,233 = 30,741.54 : x
  2. Step 2: Convert to fraction form
    77,488.67/116,233 = 30,741.54/x
  3. Step 3: Cross multiply
    77,488.67x = 116,233 × 30,741.54
  4. Step 4: Simplify right side
    77,488.67x = 3,573,181,418.82
  5. Step 5: Solve for x
    x = 3,573,181,418.82/77,488.67
  6. Step 6: Final answer
    x = 46,112.31

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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.