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Finding the Fourth Proportional to 38,498.45, 57,749.70 and 12,205.24

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Solution

The fourth proportional to 38,498.45, 57,749.70 and 12,205.24 is: 18,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498.45 : 57,749.70 = 12,205.24 : x
  2. Step 2: Convert to fraction form
    38,498.45/57,749.70 = 12,205.24/x
  3. Step 3: Cross multiply
    38,498.45x = 57,749.70 × 12,205.24
  4. Step 4: Simplify right side
    38,498.45x = 704,848,948.43
  5. Step 5: Solve for x
    x = 704,848,948.43/38,498.45
  6. Step 6: Final answer
    x = 18,308.50

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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.