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Finding the Fourth Proportional to 97,450, 134,481 and 52,738

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Solution

The fourth proportional to 97,450, 134,481 and 52,738 is: 72,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,450 : 134,481 = 52,738 : x
  2. Step 2: Convert to fraction form
    97,450/134,481 = 52,738/x
  3. Step 3: Cross multiply
    97,450x = 134,481 × 52,738
  4. Step 4: Simplify right side
    97,450x = 7,092,258,978
  5. Step 5: Solve for x
    x = 7,092,258,978/97,450
  6. Step 6: Final answer
    x = 72,778.44

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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.