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Finding the Fourth Proportional to 82,311.72, 113,592.51 and 46,503.24

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Solution

The fourth proportional to 82,311.72, 113,592.51 and 46,503.24 is: 64,175.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,311.72 : 113,592.51 = 46,503.24 : x
  2. Step 2: Convert to fraction form
    82,311.72/113,592.51 = 46,503.24/x
  3. Step 3: Cross multiply
    82,311.72x = 113,592.51 × 46,503.24
  4. Step 4: Simplify right side
    82,311.72x = 5,282,419,754.73
  5. Step 5: Solve for x
    x = 5,282,419,754.73/82,311.72
  6. Step 6: Final answer
    x = 64,175.79

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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.