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Finding the Fourth Proportional to 39,707, 54,805.56 and 22,949.72

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Solution

The fourth proportional to 39,707, 54,805.56 and 22,949.72 is: 31,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,707 : 54,805.56 = 22,949.72 : x
  2. Step 2: Convert to fraction form
    39,707/54,805.56 = 22,949.72/x
  3. Step 3: Cross multiply
    39,707x = 54,805.56 × 22,949.72
  4. Step 4: Simplify right side
    39,707x = 1,257,772,256.44
  5. Step 5: Solve for x
    x = 1,257,772,256.44/39,707
  6. Step 6: Final answer
    x = 31,676.34

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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.