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Finding the Fourth Proportional to 39,540, 54,574.92 and 22,782.72

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Solution

The fourth proportional to 39,540, 54,574.92 and 22,782.72 is: 31,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,540 : 54,574.92 = 22,782.72 : x
  2. Step 2: Convert to fraction form
    39,540/54,574.92 = 22,782.72/x
  3. Step 3: Cross multiply
    39,540x = 54,574.92 × 22,782.72
  4. Step 4: Simplify right side
    39,540x = 1,243,365,121.38
  5. Step 5: Solve for x
    x = 1,243,365,121.38/39,540
  6. Step 6: Final answer
    x = 31,445.75

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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.