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Finding the Fourth Proportional to 46,949, 64,789.62 and 27,077

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Solution

The fourth proportional to 46,949, 64,789.62 and 27,077 is: 37,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,949 : 64,789.62 = 27,077 : x
  2. Step 2: Convert to fraction form
    46,949/64,789.62 = 27,077/x
  3. Step 3: Cross multiply
    46,949x = 64,789.62 × 27,077
  4. Step 4: Simplify right side
    46,949x = 1,754,308,540.74
  5. Step 5: Solve for x
    x = 1,754,308,540.74/46,949
  6. Step 6: Final answer
    x = 37,366.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.