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Finding the Fourth Proportional to 31,289.25, 43,179.17 and 18,714

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Solution

The fourth proportional to 31,289.25, 43,179.17 and 18,714 is: 25,825.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,289.25 : 43,179.17 = 18,714 : x
  2. Step 2: Convert to fraction form
    31,289.25/43,179.17 = 18,714/x
  3. Step 3: Cross multiply
    31,289.25x = 43,179.17 × 18,714
  4. Step 4: Simplify right side
    31,289.25x = 808,054,893.81
  5. Step 5: Solve for x
    x = 808,054,893.81/31,289.25
  6. Step 6: Final answer
    x = 25,825.32

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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.