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Finding the Fourth Proportional to 53,082.68, 73,268.55 and 31,580.55

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Solution

The fourth proportional to 53,082.68, 73,268.55 and 31,580.55 is: 43,589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,082.68 : 73,268.55 = 31,580.55 : x
  2. Step 2: Convert to fraction form
    53,082.68/73,268.55 = 31,580.55/x
  3. Step 3: Cross multiply
    53,082.68x = 73,268.55 × 31,580.55
  4. Step 4: Simplify right side
    53,082.68x = 2,313,861,106.70
  5. Step 5: Solve for x
    x = 2,313,861,106.70/53,082.68
  6. Step 6: Final answer
    x = 43,589.76

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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.