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Finding the Fourth Proportional to 89,682.26, 123,821.04 and 55,741.38

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Solution

The fourth proportional to 89,682.26, 123,821.04 and 55,741.38 is: 76,960.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,682.26 : 123,821.04 = 55,741.38 : x
  2. Step 2: Convert to fraction form
    89,682.26/123,821.04 = 55,741.38/x
  3. Step 3: Cross multiply
    89,682.26x = 123,821.04 × 55,741.38
  4. Step 4: Simplify right side
    89,682.26x = 6,901,955,642.64
  5. Step 5: Solve for x
    x = 6,901,955,642.64/89,682.26
  6. Step 6: Final answer
    x = 76,960.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.