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Finding the Fourth Proportional to 27,537.72, 38,002.05 and 16,359.72

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Solution

The fourth proportional to 27,537.72, 38,002.05 and 16,359.72 is: 22,576.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,537.72 : 38,002.05 = 16,359.72 : x
  2. Step 2: Convert to fraction form
    27,537.72/38,002.05 = 16,359.72/x
  3. Step 3: Cross multiply
    27,537.72x = 38,002.05 × 16,359.72
  4. Step 4: Simplify right side
    27,537.72x = 621,702,938.33
  5. Step 5: Solve for x
    x = 621,702,938.33/27,537.72
  6. Step 6: Final answer
    x = 22,576.41

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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.