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Finding the Fourth Proportional to 30,761.26, 42,430.85 and 19,410.73

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Solution

The fourth proportional to 30,761.26, 42,430.85 and 19,410.73 is: 26,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,761.26 : 42,430.85 = 19,410.73 : x
  2. Step 2: Convert to fraction form
    30,761.26/42,430.85 = 19,410.73/x
  3. Step 3: Cross multiply
    30,761.26x = 42,430.85 × 19,410.73
  4. Step 4: Simplify right side
    30,761.26x = 823,613,773.02
  5. Step 5: Solve for x
    x = 823,613,773.02/30,761.26
  6. Step 6: Final answer
    x = 26,774.38

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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.