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Finding the Fourth Proportional to 27,470.81, 41,201.81 and 7,750.75

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Solution

The fourth proportional to 27,470.81, 41,201.81 and 7,750.75 is: 11,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,470.81 : 41,201.81 = 7,750.75 : x
  2. Step 2: Convert to fraction form
    27,470.81/41,201.81 = 7,750.75/x
  3. Step 3: Cross multiply
    27,470.81x = 41,201.81 × 7,750.75
  4. Step 4: Simplify right side
    27,470.81x = 319,344,928.86
  5. Step 5: Solve for x
    x = 319,344,928.86/27,470.81
  6. Step 6: Final answer
    x = 11,624.88

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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.