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Finding the Fourth Proportional to 31,768.52, 43,830.42 and 18,338

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Solution

The fourth proportional to 31,768.52, 43,830.42 and 18,338 is: 25,300.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,768.52 : 43,830.42 = 18,338 : x
  2. Step 2: Convert to fraction form
    31,768.52/43,830.42 = 18,338/x
  3. Step 3: Cross multiply
    31,768.52x = 43,830.42 × 18,338
  4. Step 4: Simplify right side
    31,768.52x = 803,762,241.96
  5. Step 5: Solve for x
    x = 803,762,241.96/31,768.52
  6. Step 6: Final answer
    x = 25,300.59

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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.