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Finding the Fourth Proportional to 50,708.33, 76,039.41 and 27,009.86

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Solution

The fourth proportional to 50,708.33, 76,039.41 and 27,009.86 is: 40,502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,708.33 : 76,039.41 = 27,009.86 : x
  2. Step 2: Convert to fraction form
    50,708.33/76,039.41 = 27,009.86/x
  3. Step 3: Cross multiply
    50,708.33x = 76,039.41 × 27,009.86
  4. Step 4: Simplify right side
    50,708.33x = 2,053,813,387.74
  5. Step 5: Solve for x
    x = 2,053,813,387.74/50,708.33
  6. Step 6: Final answer
    x = 40,502.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.