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Finding the Fourth Proportional to 38,596.80, 57,930.72 and 19,889.73

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Solution

The fourth proportional to 38,596.80, 57,930.72 and 19,889.73 is: 29,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,596.80 : 57,930.72 = 19,889.73 : x
  2. Step 2: Convert to fraction form
    38,596.80/57,930.72 = 19,889.73/x
  3. Step 3: Cross multiply
    38,596.80x = 57,930.72 × 19,889.73
  4. Step 4: Simplify right side
    38,596.80x = 1,152,226,379.51
  5. Step 5: Solve for x
    x = 1,152,226,379.51/38,596.80
  6. Step 6: Final answer
    x = 29,852.90

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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.