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Finding the Fourth Proportional to 71,165.93, 106,767.42 and 21,246.05

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Solution

The fourth proportional to 71,165.93, 106,767.42 and 21,246.05 is: 31,874.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,165.93 : 106,767.42 = 21,246.05 : x
  2. Step 2: Convert to fraction form
    71,165.93/106,767.42 = 21,246.05/x
  3. Step 3: Cross multiply
    71,165.93x = 106,767.42 × 21,246.05
  4. Step 4: Simplify right side
    71,165.93x = 2,268,385,943.69
  5. Step 5: Solve for x
    x = 2,268,385,943.69/71,165.93
  6. Step 6: Final answer
    x = 31,874.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.