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Finding the Fourth Proportional to 89,270.97, 123,201.71 and 48,992.51

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Solution

The fourth proportional to 89,270.97, 123,201.71 and 48,992.51 is: 67,613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,270.97 : 123,201.71 = 48,992.51 : x
  2. Step 2: Convert to fraction form
    89,270.97/123,201.71 = 48,992.51/x
  3. Step 3: Cross multiply
    89,270.97x = 123,201.71 × 48,992.51
  4. Step 4: Simplify right side
    89,270.97x = 6,035,960,148.22
  5. Step 5: Solve for x
    x = 6,035,960,148.22/89,270.97
  6. Step 6: Final answer
    x = 67,613.92

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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.