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Finding the Fourth Proportional to 30,764.31, 42,449.58 and 17,149.38

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Solution

The fourth proportional to 30,764.31, 42,449.58 and 17,149.38 is: 23,663.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764.31 : 42,449.58 = 17,149.38 : x
  2. Step 2: Convert to fraction form
    30,764.31/42,449.58 = 17,149.38/x
  3. Step 3: Cross multiply
    30,764.31x = 42,449.58 × 17,149.38
  4. Step 4: Simplify right side
    30,764.31x = 727,983,978.26
  5. Step 5: Solve for x
    x = 727,983,978.26/30,764.31
  6. Step 6: Final answer
    x = 23,663.26

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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.