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Finding the Fourth Proportional to 30,664.57, 42,308.38 and 17,234.41

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Solution

The fourth proportional to 30,664.57, 42,308.38 and 17,234.41 is: 23,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,664.57 : 42,308.38 = 17,234.41 : x
  2. Step 2: Convert to fraction form
    30,664.57/42,308.38 = 17,234.41/x
  3. Step 3: Cross multiply
    30,664.57x = 42,308.38 × 17,234.41
  4. Step 4: Simplify right side
    30,664.57x = 729,159,967.36
  5. Step 5: Solve for x
    x = 729,159,967.36/30,664.57
  6. Step 6: Final answer
    x = 23,778.58

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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.