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Finding the Fourth Proportional to 82,580.92, 123,873.93 and 39,294.36

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Solution

The fourth proportional to 82,580.92, 123,873.93 and 39,294.36 is: 58,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,580.92 : 123,873.93 = 39,294.36 : x
  2. Step 2: Convert to fraction form
    82,580.92/123,873.93 = 39,294.36/x
  3. Step 3: Cross multiply
    82,580.92x = 123,873.93 × 39,294.36
  4. Step 4: Simplify right side
    82,580.92x = 4,867,546,800.03
  5. Step 5: Solve for x
    x = 4,867,546,800.03/82,580.92
  6. Step 6: Final answer
    x = 58,942.75

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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.