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Finding the Fourth Proportional to 82,559.70, 113,950.53 and 54,268.02

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Solution

The fourth proportional to 82,559.70, 113,950.53 and 54,268.02 is: 74,901.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,559.70 : 113,950.53 = 54,268.02 : x
  2. Step 2: Convert to fraction form
    82,559.70/113,950.53 = 54,268.02/x
  3. Step 3: Cross multiply
    82,559.70x = 113,950.53 × 54,268.02
  4. Step 4: Simplify right side
    82,559.70x = 6,183,869,641.05
  5. Step 5: Solve for x
    x = 6,183,869,641.05/82,559.70
  6. Step 6: Final answer
    x = 74,901.79

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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.