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Finding the Fourth Proportional to 55,548.30, 76,645.33 and 32,876

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Solution

The fourth proportional to 55,548.30, 76,645.33 and 32,876 is: 45,362.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,548.30 : 76,645.33 = 32,876 : x
  2. Step 2: Convert to fraction form
    55,548.30/76,645.33 = 32,876/x
  3. Step 3: Cross multiply
    55,548.30x = 76,645.33 × 32,876
  4. Step 4: Simplify right side
    55,548.30x = 2,519,791,869.08
  5. Step 5: Solve for x
    x = 2,519,791,869.08/55,548.30
  6. Step 6: Final answer
    x = 45,362.18

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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.