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Finding the Fourth Proportional to 97,961, 135,187.26 and 53,249

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Solution

The fourth proportional to 97,961, 135,187.26 and 53,249 is: 73,484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,961 : 135,187.26 = 53,249 : x
  2. Step 2: Convert to fraction form
    97,961/135,187.26 = 53,249/x
  3. Step 3: Cross multiply
    97,961x = 135,187.26 × 53,249
  4. Step 4: Simplify right side
    97,961x = 7,198,586,407.74
  5. Step 5: Solve for x
    x = 7,198,586,407.74/97,961
  6. Step 6: Final answer
    x = 73,484.21

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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.