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Finding the Fourth Proportional to 39,785.38, 54,905.22 and 21,881.76

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Solution

The fourth proportional to 39,785.38, 54,905.22 and 21,881.76 is: 30,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,785.38 : 54,905.22 = 21,881.76 : x
  2. Step 2: Convert to fraction form
    39,785.38/54,905.22 = 21,881.76/x
  3. Step 3: Cross multiply
    39,785.38x = 54,905.22 × 21,881.76
  4. Step 4: Simplify right side
    39,785.38x = 1,201,422,846.79
  5. Step 5: Solve for x
    x = 1,201,422,846.79/39,785.38
  6. Step 6: Final answer
    x = 30,197.60

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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.