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Finding the Fourth Proportional to 30,664.26, 42,309 and 18,723.24

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Solution

The fourth proportional to 30,664.26, 42,309 and 18,723.24 is: 25,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,664.26 : 42,309 = 18,723.24 : x
  2. Step 2: Convert to fraction form
    30,664.26/42,309 = 18,723.24/x
  3. Step 3: Cross multiply
    30,664.26x = 42,309 × 18,723.24
  4. Step 4: Simplify right side
    30,664.26x = 792,161,561.16
  5. Step 5: Solve for x
    x = 792,161,561.16/30,664.26
  6. Step 6: Final answer
    x = 25,833.38

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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.