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Finding the Fourth Proportional to 70,992, 97,968.96 and 41,189.76

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Solution

The fourth proportional to 70,992, 97,968.96 and 41,189.76 is: 56,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,992 : 97,968.96 = 41,189.76 : x
  2. Step 2: Convert to fraction form
    70,992/97,968.96 = 41,189.76/x
  3. Step 3: Cross multiply
    70,992x = 97,968.96 × 41,189.76
  4. Step 4: Simplify right side
    70,992x = 4,035,317,949.85
  5. Step 5: Solve for x
    x = 4,035,317,949.85/70,992
  6. Step 6: Final answer
    x = 56,841.87

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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.