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Finding the Fourth Proportional to 82,398, 123,523.68 and 29,795.79

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Solution

The fourth proportional to 82,398, 123,523.68 and 29,795.79 is: 44,667.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,398 : 123,523.68 = 29,795.79 : x
  2. Step 2: Convert to fraction form
    82,398/123,523.68 = 29,795.79/x
  3. Step 3: Cross multiply
    82,398x = 123,523.68 × 29,795.79
  4. Step 4: Simplify right side
    82,398x = 3,680,485,629.31
  5. Step 5: Solve for x
    x = 3,680,485,629.31/82,398
  6. Step 6: Final answer
    x = 44,667.17

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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.