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Finding the Fourth Proportional to 82,605.76, 123,838.44 and 32,720.97

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Solution

The fourth proportional to 82,605.76, 123,838.44 and 32,720.97 is: 49,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,605.76 : 123,838.44 = 32,720.97 : x
  2. Step 2: Convert to fraction form
    82,605.76/123,838.44 = 32,720.97/x
  3. Step 3: Cross multiply
    82,605.76x = 123,838.44 × 32,720.97
  4. Step 4: Simplify right side
    82,605.76x = 4,052,113,880.09
  5. Step 5: Solve for x
    x = 4,052,113,880.09/82,605.76
  6. Step 6: Final answer
    x = 49,053.65

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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.