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Finding the Fourth Proportional to 89,798.16, 123,922.36 and 49,513.36

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Solution

The fourth proportional to 89,798.16, 123,922.36 and 49,513.36 is: 68,328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,798.16 : 123,922.36 = 49,513.36 : x
  2. Step 2: Convert to fraction form
    89,798.16/123,922.36 = 49,513.36/x
  3. Step 3: Cross multiply
    89,798.16x = 123,922.36 × 49,513.36
  4. Step 4: Simplify right side
    89,798.16x = 6,135,812,422.73
  5. Step 5: Solve for x
    x = 6,135,812,422.73/89,798.16
  6. Step 6: Final answer
    x = 68,328.93

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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.