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Finding the Fourth Proportional to 82,094.59, 123,163.82 and 29,504.53

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Solution

The fourth proportional to 82,094.59, 123,163.82 and 29,504.53 is: 44,264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,094.59 : 123,163.82 = 29,504.53 : x
  2. Step 2: Convert to fraction form
    82,094.59/123,163.82 = 29,504.53/x
  3. Step 3: Cross multiply
    82,094.59x = 123,163.82 × 29,504.53
  4. Step 4: Simplify right side
    82,094.59x = 3,633,890,474.58
  5. Step 5: Solve for x
    x = 3,633,890,474.58/82,094.59
  6. Step 6: Final answer
    x = 44,264.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.