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Finding the Fourth Proportional to 55,781.68, 76,965.48 and 31,582.96

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Solution

The fourth proportional to 55,781.68, 76,965.48 and 31,582.96 is: 43,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,781.68 : 76,965.48 = 31,582.96 : x
  2. Step 2: Convert to fraction form
    55,781.68/76,965.48 = 31,582.96/x
  3. Step 3: Cross multiply
    55,781.68x = 76,965.48 × 31,582.96
  4. Step 4: Simplify right side
    55,781.68x = 2,430,797,676.22
  5. Step 5: Solve for x
    x = 2,430,797,676.22/55,781.68
  6. Step 6: Final answer
    x = 43,576.99

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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.