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Finding the Fourth Proportional to 82,484.34, 123,724.97 and 26,324

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Solution

The fourth proportional to 82,484.34, 123,724.97 and 26,324 is: 39,485.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,484.34 : 123,724.97 = 26,324 : x
  2. Step 2: Convert to fraction form
    82,484.34/123,724.97 = 26,324/x
  3. Step 3: Cross multiply
    82,484.34x = 123,724.97 × 26,324
  4. Step 4: Simplify right side
    82,484.34x = 3,256,936,110.28
  5. Step 5: Solve for x
    x = 3,256,936,110.28/82,484.34
  6. Step 6: Final answer
    x = 39,485.51

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