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Finding the Fourth Proportional to 82,591.26, 113,994.03 and 54,299.58

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Solution

The fourth proportional to 82,591.26, 113,994.03 and 54,299.58 is: 74,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,591.26 : 113,994.03 = 54,299.58 : x
  2. Step 2: Convert to fraction form
    82,591.26/113,994.03 = 54,299.58/x
  3. Step 3: Cross multiply
    82,591.26x = 113,994.03 × 54,299.58
  4. Step 4: Simplify right side
    82,591.26x = 6,189,827,951.51
  5. Step 5: Solve for x
    x = 6,189,827,951.51/82,591.26
  6. Step 6: Final answer
    x = 74,945.31

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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.