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Finding the Fourth Proportional to 51,805.56, 77,708.34 and 16,745.22

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Solution

The fourth proportional to 51,805.56, 77,708.34 and 16,745.22 is: 25,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,805.56 : 77,708.34 = 16,745.22 : x
  2. Step 2: Convert to fraction form
    51,805.56/77,708.34 = 16,745.22/x
  3. Step 3: Cross multiply
    51,805.56x = 77,708.34 × 16,745.22
  4. Step 4: Simplify right side
    51,805.56x = 1,301,243,249.13
  5. Step 5: Solve for x
    x = 1,301,243,249.13/51,805.56
  6. Step 6: Final answer
    x = 25,117.83

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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.