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Finding the Fourth Proportional to 27,649.45, 41,470.08 and 13,605.67

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Solution

The fourth proportional to 27,649.45, 41,470.08 and 13,605.67 is: 20,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.45 : 41,470.08 = 13,605.67 : x
  2. Step 2: Convert to fraction form
    27,649.45/41,470.08 = 13,605.67/x
  3. Step 3: Cross multiply
    27,649.45x = 41,470.08 × 13,605.67
  4. Step 4: Simplify right side
    27,649.45x = 564,228,224.17
  5. Step 5: Solve for x
    x = 564,228,224.17/27,649.45
  6. Step 6: Final answer
    x = 20,406.49

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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.