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Finding the Fourth Proportional to 89,500.38, 123,513.21 and 49,212.06

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Solution

The fourth proportional to 89,500.38, 123,513.21 and 49,212.06 is: 67,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,500.38 : 123,513.21 = 49,212.06 : x
  2. Step 2: Convert to fraction form
    89,500.38/123,513.21 = 49,212.06/x
  3. Step 3: Cross multiply
    89,500.38x = 123,513.21 × 49,212.06
  4. Step 4: Simplify right side
    89,500.38x = 6,078,339,501.31
  5. Step 5: Solve for x
    x = 6,078,339,501.31/89,500.38
  6. Step 6: Final answer
    x = 67,914.12

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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.