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Finding the Fourth Proportional to 31,774.86, 43,836.16 and 18,336.58

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Solution

The fourth proportional to 31,774.86, 43,836.16 and 18,336.58 is: 25,296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.86 : 43,836.16 = 18,336.58 : x
  2. Step 2: Convert to fraction form
    31,774.86/43,836.16 = 18,336.58/x
  3. Step 3: Cross multiply
    31,774.86x = 43,836.16 × 18,336.58
  4. Step 4: Simplify right side
    31,774.86x = 803,805,185.25
  5. Step 5: Solve for x
    x = 803,805,185.25/31,774.86
  6. Step 6: Final answer
    x = 25,296.89

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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.