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Finding the Fourth Proportional to 39,689.72, 54,763.26 and 22,913

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Solution

The fourth proportional to 39,689.72, 54,763.26 and 22,913 is: 31,615.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,689.72 : 54,763.26 = 22,913 : x
  2. Step 2: Convert to fraction form
    39,689.72/54,763.26 = 22,913/x
  3. Step 3: Cross multiply
    39,689.72x = 54,763.26 × 22,913
  4. Step 4: Simplify right side
    39,689.72x = 1,254,790,576.38
  5. Step 5: Solve for x
    x = 1,254,790,576.38/39,689.72
  6. Step 6: Final answer
    x = 31,615.00

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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.