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Finding the Fourth Proportional to 27,353.34, 41,029.82 and 7,632

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Solution

The fourth proportional to 27,353.34, 41,029.82 and 7,632 is: 11,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,353.34 : 41,029.82 = 7,632 : x
  2. Step 2: Convert to fraction form
    27,353.34/41,029.82 = 7,632/x
  3. Step 3: Cross multiply
    27,353.34x = 41,029.82 × 7,632
  4. Step 4: Simplify right side
    27,353.34x = 313,139,586.24
  5. Step 5: Solve for x
    x = 313,139,586.24/27,353.34
  6. Step 6: Final answer
    x = 11,447.95

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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.