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Finding the Fourth Proportional to 82,986, 114,520.68 and 45,260.52

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Solution

The fourth proportional to 82,986, 114,520.68 and 45,260.52 is: 62,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,986 : 114,520.68 = 45,260.52 : x
  2. Step 2: Convert to fraction form
    82,986/114,520.68 = 45,260.52/x
  3. Step 3: Cross multiply
    82,986x = 114,520.68 × 45,260.52
  4. Step 4: Simplify right side
    82,986x = 5,183,265,527.55
  5. Step 5: Solve for x
    x = 5,183,265,527.55/82,986
  6. Step 6: Final answer
    x = 62,459.52

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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.