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Finding the Fourth Proportional to 73,142.24, 100,935.84 and 39,608

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Solution

The fourth proportional to 73,142.24, 100,935.84 and 39,608 is: 54,658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,142.24 : 100,935.84 = 39,608 : x
  2. Step 2: Convert to fraction form
    73,142.24/100,935.84 = 39,608/x
  3. Step 3: Cross multiply
    73,142.24x = 100,935.84 × 39,608
  4. Step 4: Simplify right side
    73,142.24x = 3,997,866,750.72
  5. Step 5: Solve for x
    x = 3,997,866,750.72/73,142.24
  6. Step 6: Final answer
    x = 54,658.80

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