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Finding the Fourth Proportional to 64,313.32, 88,770.18 and 41,953

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Solution

The fourth proportional to 64,313.32, 88,770.18 and 41,953 is: 57,906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,313.32 : 88,770.18 = 41,953 : x
  2. Step 2: Convert to fraction form
    64,313.32/88,770.18 = 41,953/x
  3. Step 3: Cross multiply
    64,313.32x = 88,770.18 × 41,953
  4. Step 4: Simplify right side
    64,313.32x = 3,724,175,361.54
  5. Step 5: Solve for x
    x = 3,724,175,361.54/64,313.32
  6. Step 6: Final answer
    x = 57,906.75

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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.