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Finding the Fourth Proportional to 89,224.54, 123,131.52 and 48,935.86

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Solution

The fourth proportional to 89,224.54, 123,131.52 and 48,935.86 is: 67,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,224.54 : 123,131.52 = 48,935.86 : x
  2. Step 2: Convert to fraction form
    89,224.54/123,131.52 = 48,935.86/x
  3. Step 3: Cross multiply
    89,224.54x = 123,131.52 × 48,935.86
  4. Step 4: Simplify right side
    89,224.54x = 6,025,546,824.31
  5. Step 5: Solve for x
    x = 6,025,546,824.31/89,224.54
  6. Step 6: Final answer
    x = 67,532.39

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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.