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Finding the Fourth Proportional to 81,092.08, 111,984.36 and 76,674.40

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Solution

The fourth proportional to 81,092.08, 111,984.36 and 76,674.40 is: 105,883.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,092.08 : 111,984.36 = 76,674.40 : x
  2. Step 2: Convert to fraction form
    81,092.08/111,984.36 = 76,674.40/x
  3. Step 3: Cross multiply
    81,092.08x = 111,984.36 × 76,674.40
  4. Step 4: Simplify right side
    81,092.08x = 8,586,333,612.38
  5. Step 5: Solve for x
    x = 8,586,333,612.38/81,092.08
  6. Step 6: Final answer
    x = 105,883.75

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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.