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Finding the Fourth Proportional to 38,596.82, 57,865.54 and 19,605.85

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Solution

The fourth proportional to 38,596.82, 57,865.54 and 19,605.85 is: 29,393.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,596.82 : 57,865.54 = 19,605.85 : x
  2. Step 2: Convert to fraction form
    38,596.82/57,865.54 = 19,605.85/x
  3. Step 3: Cross multiply
    38,596.82x = 57,865.54 × 19,605.85
  4. Step 4: Simplify right side
    38,596.82x = 1,134,503,097.41
  5. Step 5: Solve for x
    x = 1,134,503,097.41/38,596.82
  6. Step 6: Final answer
    x = 29,393.69

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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.