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Finding the Fourth Proportional to 51,822.78, 77,745.51 and 16,761.93

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Solution

The fourth proportional to 51,822.78, 77,745.51 and 16,761.93 is: 25,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,822.78 : 77,745.51 = 16,761.93 : x
  2. Step 2: Convert to fraction form
    51,822.78/77,745.51 = 16,761.93/x
  3. Step 3: Cross multiply
    51,822.78x = 77,745.51 × 16,761.93
  4. Step 4: Simplify right side
    51,822.78x = 1,303,164,796.43
  5. Step 5: Solve for x
    x = 1,303,164,796.43/51,822.78
  6. Step 6: Final answer
    x = 25,146.56

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Why These Related Problems?

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