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Finding the Fourth Proportional to 31,380, 43,308.24 and 18,132

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Solution

The fourth proportional to 31,380, 43,308.24 and 18,132 is: 25,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,380 : 43,308.24 = 18,132 : x
  2. Step 2: Convert to fraction form
    31,380/43,308.24 = 18,132/x
  3. Step 3: Cross multiply
    31,380x = 43,308.24 × 18,132
  4. Step 4: Simplify right side
    31,380x = 785,265,007.68
  5. Step 5: Solve for x
    x = 785,265,007.68/31,380
  6. Step 6: Final answer
    x = 25,024.38

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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.