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Finding the Fourth Proportional to 51,255, 76,926.24 and 20,112.12

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Solution

The fourth proportional to 51,255, 76,926.24 and 20,112.12 is: 30,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,255 : 76,926.24 = 20,112.12 : x
  2. Step 2: Convert to fraction form
    51,255/76,926.24 = 20,112.12/x
  3. Step 3: Cross multiply
    51,255x = 76,926.24 × 20,112.12
  4. Step 4: Simplify right side
    51,255x = 1,547,149,770.03
  5. Step 5: Solve for x
    x = 1,547,149,770.03/51,255
  6. Step 6: Final answer
    x = 30,185.34

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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.