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Finding the Fourth Proportional to 27,468.99, 41,204.50 and 7,748.07

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Solution

The fourth proportional to 27,468.99, 41,204.50 and 7,748.07 is: 11,622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,468.99 : 41,204.50 = 7,748.07 : x
  2. Step 2: Convert to fraction form
    27,468.99/41,204.50 = 7,748.07/x
  3. Step 3: Cross multiply
    27,468.99x = 41,204.50 × 7,748.07
  4. Step 4: Simplify right side
    27,468.99x = 319,255,408.20
  5. Step 5: Solve for x
    x = 319,255,408.20/27,468.99
  6. Step 6: Final answer
    x = 11,622.39

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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.