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Finding the Fourth Proportional to 40,115.76, 55,338.30 and 25,944

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Solution

The fourth proportional to 40,115.76, 55,338.30 and 25,944 is: 35,788.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,115.76 : 55,338.30 = 25,944 : x
  2. Step 2: Convert to fraction form
    40,115.76/55,338.30 = 25,944/x
  3. Step 3: Cross multiply
    40,115.76x = 55,338.30 × 25,944
  4. Step 4: Simplify right side
    40,115.76x = 1,435,696,855.20
  5. Step 5: Solve for x
    x = 1,435,696,855.20/40,115.76
  6. Step 6: Final answer
    x = 35,788.85

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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.