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Finding the Fourth Proportional to 51,896.50, 77,820.14 and 26,911.54

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Solution

The fourth proportional to 51,896.50, 77,820.14 and 26,911.54 is: 40,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,896.50 : 77,820.14 = 26,911.54 : x
  2. Step 2: Convert to fraction form
    51,896.50/77,820.14 = 26,911.54/x
  3. Step 3: Cross multiply
    51,896.50x = 77,820.14 × 26,911.54
  4. Step 4: Simplify right side
    51,896.50x = 2,094,259,974.97
  5. Step 5: Solve for x
    x = 2,094,259,974.97/51,896.50
  6. Step 6: Final answer
    x = 40,354.55

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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.