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Finding the Fourth Proportional to 82,277.52, 113,542.20 and 48,286.32

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Solution

The fourth proportional to 82,277.52, 113,542.20 and 48,286.32 is: 66,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,277.52 : 113,542.20 = 48,286.32 : x
  2. Step 2: Convert to fraction form
    82,277.52/113,542.20 = 48,286.32/x
  3. Step 3: Cross multiply
    82,277.52x = 113,542.20 × 48,286.32
  4. Step 4: Simplify right side
    82,277.52x = 5,482,535,002.70
  5. Step 5: Solve for x
    x = 5,482,535,002.70/82,277.52
  6. Step 6: Final answer
    x = 66,634.67

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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.