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Finding the Fourth Proportional to 31,798.52, 43,884 and 18,370.34

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Solution

The fourth proportional to 31,798.52, 43,884 and 18,370.34 is: 25,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,798.52 : 43,884 = 18,370.34 : x
  2. Step 2: Convert to fraction form
    31,798.52/43,884 = 18,370.34/x
  3. Step 3: Cross multiply
    31,798.52x = 43,884 × 18,370.34
  4. Step 4: Simplify right side
    31,798.52x = 806,164,000.56
  5. Step 5: Solve for x
    x = 806,164,000.56/31,798.52
  6. Step 6: Final answer
    x = 25,352.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.