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Finding the Fourth Proportional to 70,841.64, 97,764.48 and 40,635.48

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Solution

The fourth proportional to 70,841.64, 97,764.48 and 40,635.48 is: 56,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,841.64 : 97,764.48 = 40,635.48 : x
  2. Step 2: Convert to fraction form
    70,841.64/97,764.48 = 40,635.48/x
  3. Step 3: Cross multiply
    70,841.64x = 97,764.48 × 40,635.48
  4. Step 4: Simplify right side
    70,841.64x = 3,972,706,571.75
  5. Step 5: Solve for x
    x = 3,972,706,571.75/70,841.64
  6. Step 6: Final answer
    x = 56,078.69

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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.