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Finding the Fourth Proportional to 38,180.27, 52,698.80 and 21,418.67

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Solution

The fourth proportional to 38,180.27, 52,698.80 and 21,418.67 is: 29,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,180.27 : 52,698.80 = 21,418.67 : x
  2. Step 2: Convert to fraction form
    38,180.27/52,698.80 = 21,418.67/x
  3. Step 3: Cross multiply
    38,180.27x = 52,698.80 × 21,418.67
  4. Step 4: Simplify right side
    38,180.27x = 1,128,738,206.60
  5. Step 5: Solve for x
    x = 1,128,738,206.60/38,180.27
  6. Step 6: Final answer
    x = 29,563.39

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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.