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Finding the Fourth Proportional to 70,965.82, 97,937.67 and 41,157.82

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Solution

The fourth proportional to 70,965.82, 97,937.67 and 41,157.82 is: 56,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,965.82 : 97,937.67 = 41,157.82 : x
  2. Step 2: Convert to fraction form
    70,965.82/97,937.67 = 41,157.82/x
  3. Step 3: Cross multiply
    70,965.82x = 97,937.67 × 41,157.82
  4. Step 4: Simplify right side
    70,965.82x = 4,030,900,993.08
  5. Step 5: Solve for x
    x = 4,030,900,993.08/70,965.82
  6. Step 6: Final answer
    x = 56,800.60

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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.