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Finding the Fourth Proportional to 97,425, 134,446.50 and 54,982.62

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Solution

The fourth proportional to 97,425, 134,446.50 and 54,982.62 is: 75,876.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,425 : 134,446.50 = 54,982.62 : x
  2. Step 2: Convert to fraction form
    97,425/134,446.50 = 54,982.62/x
  3. Step 3: Cross multiply
    97,425x = 134,446.50 × 54,982.62
  4. Step 4: Simplify right side
    97,425x = 7,392,220,819.83
  5. Step 5: Solve for x
    x = 7,392,220,819.83/97,425
  6. Step 6: Final answer
    x = 75,876.02

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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.