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Finding the Fourth Proportional to 89,412.70, 123,338.22 and 55,820.38

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Solution

The fourth proportional to 89,412.70, 123,338.22 and 55,820.38 is: 77,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,412.70 : 123,338.22 = 55,820.38 : x
  2. Step 2: Convert to fraction form
    89,412.70/123,338.22 = 55,820.38/x
  3. Step 3: Cross multiply
    89,412.70x = 123,338.22 × 55,820.38
  4. Step 4: Simplify right side
    89,412.70x = 6,884,786,308.92
  5. Step 5: Solve for x
    x = 6,884,786,308.92/89,412.70
  6. Step 6: Final answer
    x = 77,000.09

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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.