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Finding the Fourth Proportional to 51,194, 76,825.58 and 17,914.35

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Solution

The fourth proportional to 51,194, 76,825.58 and 17,914.35 is: 26,883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,194 : 76,825.58 = 17,914.35 : x
  2. Step 2: Convert to fraction form
    51,194/76,825.58 = 17,914.35/x
  3. Step 3: Cross multiply
    51,194x = 76,825.58 × 17,914.35
  4. Step 4: Simplify right side
    51,194x = 1,376,280,329.07
  5. Step 5: Solve for x
    x = 1,376,280,329.07/51,194
  6. Step 6: Final answer
    x = 26,883.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.