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Finding the Fourth Proportional to 82,301.81, 123,452.74 and 23,137.50

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Solution

The fourth proportional to 82,301.81, 123,452.74 and 23,137.50 is: 34,706.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,301.81 : 123,452.74 = 23,137.50 : x
  2. Step 2: Convert to fraction form
    82,301.81/123,452.74 = 23,137.50/x
  3. Step 3: Cross multiply
    82,301.81x = 123,452.74 × 23,137.50
  4. Step 4: Simplify right side
    82,301.81x = 2,856,387,771.75
  5. Step 5: Solve for x
    x = 2,856,387,771.75/82,301.81
  6. Step 6: Final answer
    x = 34,706.26

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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.