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Finding the Fourth Proportional to 27,845.70, 38,214.01 and 27,648.88

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Solution

The fourth proportional to 27,845.70, 38,214.01 and 27,648.88 is: 37,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,845.70 : 38,214.01 = 27,648.88 : x
  2. Step 2: Convert to fraction form
    27,845.70/38,214.01 = 27,648.88/x
  3. Step 3: Cross multiply
    27,845.70x = 38,214.01 × 27,648.88
  4. Step 4: Simplify right side
    27,845.70x = 1,056,574,576.81
  5. Step 5: Solve for x
    x = 1,056,574,576.81/27,845.70
  6. Step 6: Final answer
    x = 37,943.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.