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Finding the Fourth Proportional to 81,520.81, 112,496.38 and 49,678.09

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Solution

The fourth proportional to 81,520.81, 112,496.38 and 49,678.09 is: 68,554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,520.81 : 112,496.38 = 49,678.09 : x
  2. Step 2: Convert to fraction form
    81,520.81/112,496.38 = 49,678.09/x
  3. Step 3: Cross multiply
    81,520.81x = 112,496.38 × 49,678.09
  4. Step 4: Simplify right side
    81,520.81x = 5,588,605,290.31
  5. Step 5: Solve for x
    x = 5,588,605,290.31/81,520.81
  6. Step 6: Final answer
    x = 68,554.34

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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.