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Finding the Fourth Proportional to 72,997, 100,736.10 and 39,463.24

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Solution

The fourth proportional to 72,997, 100,736.10 and 39,463.24 is: 54,459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,997 : 100,736.10 = 39,463.24 : x
  2. Step 2: Convert to fraction form
    72,997/100,736.10 = 39,463.24/x
  3. Step 3: Cross multiply
    72,997x = 100,736.10 × 39,463.24
  4. Step 4: Simplify right side
    72,997x = 3,975,372,890.96
  5. Step 5: Solve for x
    x = 3,975,372,890.96/72,997
  6. Step 6: Final answer
    x = 54,459.40

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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.