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Finding the Fourth Proportional to 21,149.30, 31,537.24 and 20,959.49

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Solution

The fourth proportional to 21,149.30, 31,537.24 and 20,959.49 is: 31,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149.30 : 31,537.24 = 20,959.49 : x
  2. Step 2: Convert to fraction form
    21,149.30/31,537.24 = 20,959.49/x
  3. Step 3: Cross multiply
    21,149.30x = 31,537.24 × 20,959.49
  4. Step 4: Simplify right side
    21,149.30x = 661,004,492.85
  5. Step 5: Solve for x
    x = 661,004,492.85/21,149.30
  6. Step 6: Final answer
    x = 31,254.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.