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Finding the Fourth Proportional to 38,495.70, 57,738.15 and 12,203.10

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Solution

The fourth proportional to 38,495.70, 57,738.15 and 12,203.10 is: 18,302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,495.70 : 57,738.15 = 12,203.10 : x
  2. Step 2: Convert to fraction form
    38,495.70/57,738.15 = 12,203.10/x
  3. Step 3: Cross multiply
    38,495.70x = 57,738.15 × 12,203.10
  4. Step 4: Simplify right side
    38,495.70x = 704,584,418.27
  5. Step 5: Solve for x
    x = 704,584,418.27/38,495.70
  6. Step 6: Final answer
    x = 18,302.94

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1.5x scale

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.