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Finding the Fourth Proportional to 82,706.67, 123,986.30 and 38,272.37

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Solution

The fourth proportional to 82,706.67, 123,986.30 and 38,272.37 is: 57,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,706.67 : 123,986.30 = 38,272.37 : x
  2. Step 2: Convert to fraction form
    82,706.67/123,986.30 = 38,272.37/x
  3. Step 3: Cross multiply
    82,706.67x = 123,986.30 × 38,272.37
  4. Step 4: Simplify right side
    82,706.67x = 4,745,248,737.24
  5. Step 5: Solve for x
    x = 4,745,248,737.24/82,706.67
  6. Step 6: Final answer
    x = 57,374.44

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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.