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Finding the Fourth Proportional to 55,383.12, 76,431 and 31,513.92

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Solution

The fourth proportional to 55,383.12, 76,431 and 31,513.92 is: 43,490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,383.12 : 76,431 = 31,513.92 : x
  2. Step 2: Convert to fraction form
    55,383.12/76,431 = 31,513.92/x
  3. Step 3: Cross multiply
    55,383.12x = 76,431 × 31,513.92
  4. Step 4: Simplify right side
    55,383.12x = 2,408,640,419.52
  5. Step 5: Solve for x
    x = 2,408,640,419.52/55,383.12
  6. Step 6: Final answer
    x = 43,490.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.