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Finding the Fourth Proportional to 27,536.75, 41,303 and 8,818.75

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Solution

The fourth proportional to 27,536.75, 41,303 and 8,818.75 is: 13,227.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,536.75 : 41,303 = 8,818.75 : x
  2. Step 2: Convert to fraction form
    27,536.75/41,303 = 8,818.75/x
  3. Step 3: Cross multiply
    27,536.75x = 41,303 × 8,818.75
  4. Step 4: Simplify right side
    27,536.75x = 364,240,624.74
  5. Step 5: Solve for x
    x = 364,240,624.74/27,536.75
  6. Step 6: Final answer
    x = 13,227.44

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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.