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Finding the Fourth Proportional to 55,343.32, 76,372.90 and 31,469.48

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Solution

The fourth proportional to 55,343.32, 76,372.90 and 31,469.48 is: 43,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,343.32 : 76,372.90 = 31,469.48 : x
  2. Step 2: Convert to fraction form
    55,343.32/76,372.90 = 31,469.48/x
  3. Step 3: Cross multiply
    55,343.32x = 76,372.90 × 31,469.48
  4. Step 4: Simplify right side
    55,343.32x = 2,403,415,449.09
  5. Step 5: Solve for x
    x = 2,403,415,449.09/55,343.32
  6. Step 6: Final answer
    x = 43,427.38

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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.