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Finding the Fourth Proportional to 71,326.42, 106,967.67 and 26,974.06

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Solution

The fourth proportional to 71,326.42, 106,967.67 and 26,974.06 is: 40,452.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,326.42 : 106,967.67 = 26,974.06 : x
  2. Step 2: Convert to fraction form
    71,326.42/106,967.67 = 26,974.06/x
  3. Step 3: Cross multiply
    71,326.42x = 106,967.67 × 26,974.06
  4. Step 4: Simplify right side
    71,326.42x = 2,885,352,348.64
  5. Step 5: Solve for x
    x = 2,885,352,348.64/71,326.42
  6. Step 6: Final answer
    x = 40,452.79

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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.