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Finding the Fourth Proportional to 89,223.38, 123,131.71 and 48,938.84

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Solution

The fourth proportional to 89,223.38, 123,131.71 and 48,938.84 is: 67,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,223.38 : 123,131.71 = 48,938.84 : x
  2. Step 2: Convert to fraction form
    89,223.38/123,131.71 = 48,938.84/x
  3. Step 3: Cross multiply
    89,223.38x = 123,131.71 × 48,938.84
  4. Step 4: Simplify right side
    89,223.38x = 6,025,923,054.62
  5. Step 5: Solve for x
    x = 6,025,923,054.62/89,223.38
  6. Step 6: Final answer
    x = 67,537.49

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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.