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Finding the Fourth Proportional to 31,602.96, 43,629.54 and 21,546.10

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Solution

The fourth proportional to 31,602.96, 43,629.54 and 21,546.10 is: 29,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,602.96 : 43,629.54 = 21,546.10 : x
  2. Step 2: Convert to fraction form
    31,602.96/43,629.54 = 21,546.10/x
  3. Step 3: Cross multiply
    31,602.96x = 43,629.54 × 21,546.10
  4. Step 4: Simplify right side
    31,602.96x = 940,046,405.53
  5. Step 5: Solve for x
    x = 940,046,405.53/31,602.96
  6. Step 6: Final answer
    x = 29,745.52

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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.