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Finding the Fourth Proportional to 97,224, 134,169.21 and 52,512

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Solution

The fourth proportional to 97,224, 134,169.21 and 52,512 is: 72,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,224 : 134,169.21 = 52,512 : x
  2. Step 2: Convert to fraction form
    97,224/134,169.21 = 52,512/x
  3. Step 3: Cross multiply
    97,224x = 134,169.21 × 52,512
  4. Step 4: Simplify right side
    97,224x = 7,045,493,555.52
  5. Step 5: Solve for x
    x = 7,045,493,555.52/97,224
  6. Step 6: Final answer
    x = 72,466.61

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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.