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Finding the Fourth Proportional to 45,409.68, 68,016.06 and 21,987

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Solution

The fourth proportional to 45,409.68, 68,016.06 and 21,987 is: 32,932.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,409.68 : 68,016.06 = 21,987 : x
  2. Step 2: Convert to fraction form
    45,409.68/68,016.06 = 21,987/x
  3. Step 3: Cross multiply
    45,409.68x = 68,016.06 × 21,987
  4. Step 4: Simplify right side
    45,409.68x = 1,495,469,111.22
  5. Step 5: Solve for x
    x = 1,495,469,111.22/45,409.68
  6. Step 6: Final answer
    x = 32,932.83

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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.