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Finding the Fourth Proportional to 30,796.55, 42,505.84 and 19,458.85

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Solution

The fourth proportional to 30,796.55, 42,505.84 and 19,458.85 is: 26,857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,796.55 : 42,505.84 = 19,458.85 : x
  2. Step 2: Convert to fraction form
    30,796.55/42,505.84 = 19,458.85/x
  3. Step 3: Cross multiply
    30,796.55x = 42,505.84 × 19,458.85
  4. Step 4: Simplify right side
    30,796.55x = 827,114,764.68
  5. Step 5: Solve for x
    x = 827,114,764.68/30,796.55
  6. Step 6: Final answer
    x = 26,857.38

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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.