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Finding the Fourth Proportional to 55,665.33, 76,816.50 and 32,694.75

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Solution

The fourth proportional to 55,665.33, 76,816.50 and 32,694.75 is: 45,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,665.33 : 76,816.50 = 32,694.75 : x
  2. Step 2: Convert to fraction form
    55,665.33/76,816.50 = 32,694.75/x
  3. Step 3: Cross multiply
    55,665.33x = 76,816.50 × 32,694.75
  4. Step 4: Simplify right side
    55,665.33x = 2,511,496,263.38
  5. Step 5: Solve for x
    x = 2,511,496,263.38/55,665.33
  6. Step 6: Final answer
    x = 45,117.78

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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.