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Finding the Fourth Proportional to 31,470.12, 43,427.88 and 18,738

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Solution

The fourth proportional to 31,470.12, 43,427.88 and 18,738 is: 25,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,470.12 : 43,427.88 = 18,738 : x
  2. Step 2: Convert to fraction form
    31,470.12/43,427.88 = 18,738/x
  3. Step 3: Cross multiply
    31,470.12x = 43,427.88 × 18,738
  4. Step 4: Simplify right side
    31,470.12x = 813,751,615.44
  5. Step 5: Solve for x
    x = 813,751,615.44/31,470.12
  6. Step 6: Final answer
    x = 25,857.91

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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.