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Finding the Fourth Proportional to 29,967.41, 41,370.58 and 21,892

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Solution

The fourth proportional to 29,967.41, 41,370.58 and 21,892 is: 30,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,967.41 : 41,370.58 = 21,892 : x
  2. Step 2: Convert to fraction form
    29,967.41/41,370.58 = 21,892/x
  3. Step 3: Cross multiply
    29,967.41x = 41,370.58 × 21,892
  4. Step 4: Simplify right side
    29,967.41x = 905,684,737.36
  5. Step 5: Solve for x
    x = 905,684,737.36/29,967.41
  6. Step 6: Final answer
    x = 30,222.32

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Why These Related Problems?

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