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Finding the Fourth Proportional to 29,967.16, 41,370.23 and 21,891.75

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Solution

The fourth proportional to 29,967.16, 41,370.23 and 21,891.75 is: 30,221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,967.16 : 41,370.23 = 21,891.75 : x
  2. Step 2: Convert to fraction form
    29,967.16/41,370.23 = 21,891.75/x
  3. Step 3: Cross multiply
    29,967.16x = 41,370.23 × 21,891.75
  4. Step 4: Simplify right side
    29,967.16x = 905,666,574.45
  5. Step 5: Solve for x
    x = 905,666,574.45/29,967.16
  6. Step 6: Final answer
    x = 30,221.97

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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.