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Finding the Fourth Proportional to 81,830.25, 112,926.96 and 49,992.39

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Solution

The fourth proportional to 81,830.25, 112,926.96 and 49,992.39 is: 68,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,830.25 : 112,926.96 = 49,992.39 : x
  2. Step 2: Convert to fraction form
    81,830.25/112,926.96 = 49,992.39/x
  3. Step 3: Cross multiply
    81,830.25x = 112,926.96 × 49,992.39
  4. Step 4: Simplify right side
    81,830.25x = 5,645,488,625.83
  5. Step 5: Solve for x
    x = 5,645,488,625.83/81,830.25
  6. Step 6: Final answer
    x = 68,990.24

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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.