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Finding the Fourth Proportional to 27,725.83, 41,582.63 and 8,000.10

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Solution

The fourth proportional to 27,725.83, 41,582.63 and 8,000.10 is: 11,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,725.83 : 41,582.63 = 8,000.10 : x
  2. Step 2: Convert to fraction form
    27,725.83/41,582.63 = 8,000.10/x
  3. Step 3: Cross multiply
    27,725.83x = 41,582.63 × 8,000.10
  4. Step 4: Simplify right side
    27,725.83x = 332,665,218.26
  5. Step 5: Solve for x
    x = 332,665,218.26/27,725.83
  6. Step 6: Final answer
    x = 11,998.39

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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.