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Finding the Fourth Proportional to 27,571.50, 38,048.85 and 14,996.34

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Solution

The fourth proportional to 27,571.50, 38,048.85 and 14,996.34 is: 20,695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,571.50 : 38,048.85 = 14,996.34 : x
  2. Step 2: Convert to fraction form
    27,571.50/38,048.85 = 14,996.34/x
  3. Step 3: Cross multiply
    27,571.50x = 38,048.85 × 14,996.34
  4. Step 4: Simplify right side
    27,571.50x = 570,593,491.21
  5. Step 5: Solve for x
    x = 570,593,491.21/27,571.50
  6. Step 6: Final answer
    x = 20,695.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.