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Finding the Fourth Proportional to 46,856.44, 64,683 and 29,883.46

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Solution

The fourth proportional to 46,856.44, 64,683 and 29,883.46 is: 41,252.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,856.44 : 64,683 = 29,883.46 : x
  2. Step 2: Convert to fraction form
    46,856.44/64,683 = 29,883.46/x
  3. Step 3: Cross multiply
    46,856.44x = 64,683 × 29,883.46
  4. Step 4: Simplify right side
    46,856.44x = 1,932,951,843.18
  5. Step 5: Solve for x
    x = 1,932,951,843.18/46,856.44
  6. Step 6: Final answer
    x = 41,252.64

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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.