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Finding the Fourth Proportional to 89,447.70, 123,386.42 and 55,855.38

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Solution

The fourth proportional to 89,447.70, 123,386.42 and 55,855.38 is: 77,048.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,447.70 : 123,386.42 = 55,855.38 : x
  2. Step 2: Convert to fraction form
    89,447.70/123,386.42 = 55,855.38/x
  3. Step 3: Cross multiply
    89,447.70x = 123,386.42 × 55,855.38
  4. Step 4: Simplify right side
    89,447.70x = 6,891,795,375.94
  5. Step 5: Solve for x
    x = 6,891,795,375.94/89,447.70
  6. Step 6: Final answer
    x = 77,048.32

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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.