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Finding the Fourth Proportional to 82,591.20, 113,994 and 54,299.52

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Solution

The fourth proportional to 82,591.20, 113,994 and 54,299.52 is: 74,945.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,591.20 : 113,994 = 54,299.52 : x
  2. Step 2: Convert to fraction form
    82,591.20/113,994 = 54,299.52/x
  3. Step 3: Cross multiply
    82,591.20x = 113,994 × 54,299.52
  4. Step 4: Simplify right side
    82,591.20x = 6,189,819,482.88
  5. Step 5: Solve for x
    x = 6,189,819,482.88/82,591.20
  6. Step 6: Final answer
    x = 74,945.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.