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Finding the Fourth Proportional to 30,796.56, 42,505.85 and 19,458.86

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Solution

The fourth proportional to 30,796.56, 42,505.85 and 19,458.86 is: 26,857.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,796.56 : 42,505.85 = 19,458.86 : x
  2. Step 2: Convert to fraction form
    30,796.56/42,505.85 = 19,458.86/x
  3. Step 3: Cross multiply
    30,796.56x = 42,505.85 × 19,458.86
  4. Step 4: Simplify right side
    30,796.56x = 827,115,074.51
  5. Step 5: Solve for x
    x = 827,115,074.51/30,796.56
  6. Step 6: Final answer
    x = 26,857.39

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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.