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Finding the Fourth Proportional to 73,072.72, 109,542 and 26,314.24

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Solution

The fourth proportional to 73,072.72, 109,542 and 26,314.24 is: 39,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,072.72 : 109,542 = 26,314.24 : x
  2. Step 2: Convert to fraction form
    73,072.72/109,542 = 26,314.24/x
  3. Step 3: Cross multiply
    73,072.72x = 109,542 × 26,314.24
  4. Step 4: Simplify right side
    73,072.72x = 2,882,514,478.08
  5. Step 5: Solve for x
    x = 2,882,514,478.08/73,072.72
  6. Step 6: Final answer
    x = 39,447.20

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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.