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Finding the Fourth Proportional to 50,719.68, 69,988.32 and 40,135.68

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Solution

The fourth proportional to 50,719.68, 69,988.32 and 40,135.68 is: 55,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,719.68 : 69,988.32 = 40,135.68 : x
  2. Step 2: Convert to fraction form
    50,719.68/69,988.32 = 40,135.68/x
  3. Step 3: Cross multiply
    50,719.68x = 69,988.32 × 40,135.68
  4. Step 4: Simplify right side
    50,719.68x = 2,809,028,815.26
  5. Step 5: Solve for x
    x = 2,809,028,815.26/50,719.68
  6. Step 6: Final answer
    x = 55,383.41

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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.