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Finding the Fourth Proportional to 82,640.76, 123,961.13 and 23,468.74

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Solution

The fourth proportional to 82,640.76, 123,961.13 and 23,468.74 is: 35,203.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,640.76 : 123,961.13 = 23,468.74 : x
  2. Step 2: Convert to fraction form
    82,640.76/123,961.13 = 23,468.74/x
  3. Step 3: Cross multiply
    82,640.76x = 123,961.13 × 23,468.74
  4. Step 4: Simplify right side
    82,640.76x = 2,909,212,020.13
  5. Step 5: Solve for x
    x = 2,909,212,020.13/82,640.76
  6. Step 6: Final answer
    x = 35,203.11

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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.