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Finding the Fourth Proportional to 89,798.16, 123,927.06 and 49,511.88

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Solution

The fourth proportional to 89,798.16, 123,927.06 and 49,511.88 is: 68,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,798.16 : 123,927.06 = 49,511.88 : x
  2. Step 2: Convert to fraction form
    89,798.16/123,927.06 = 49,511.88/x
  3. Step 3: Cross multiply
    89,798.16x = 123,927.06 × 49,511.88
  4. Step 4: Simplify right side
    89,798.16x = 6,135,861,723.47
  5. Step 5: Solve for x
    x = 6,135,861,723.47/89,798.16
  6. Step 6: Final answer
    x = 68,329.48

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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.