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Finding the Fourth Proportional to 69,466.36, 95,820.42 and 41,152

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Solution

The fourth proportional to 69,466.36, 95,820.42 and 41,152 is: 56,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,466.36 : 95,820.42 = 41,152 : x
  2. Step 2: Convert to fraction form
    69,466.36/95,820.42 = 41,152/x
  3. Step 3: Cross multiply
    69,466.36x = 95,820.42 × 41,152
  4. Step 4: Simplify right side
    69,466.36x = 3,943,201,923.84
  5. Step 5: Solve for x
    x = 3,943,201,923.84/69,466.36
  6. Step 6: Final answer
    x = 56,764.19

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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.