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Finding the Fourth Proportional to 73,862.22, 102,014.73 and 53,808.78

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Solution

The fourth proportional to 73,862.22, 102,014.73 and 53,808.78 is: 74,317.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,862.22 : 102,014.73 = 53,808.78 : x
  2. Step 2: Convert to fraction form
    73,862.22/102,014.73 = 53,808.78/x
  3. Step 3: Cross multiply
    73,862.22x = 102,014.73 × 53,808.78
  4. Step 4: Simplify right side
    73,862.22x = 5,489,288,163.33
  5. Step 5: Solve for x
    x = 5,489,288,163.33/73,862.22
  6. Step 6: Final answer
    x = 74,317.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.