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Finding the Fourth Proportional to 38,959.92, 53,766.27 and 21,964.80

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Solution

The fourth proportional to 38,959.92, 53,766.27 and 21,964.80 is: 30,312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,959.92 : 53,766.27 = 21,964.80 : x
  2. Step 2: Convert to fraction form
    38,959.92/53,766.27 = 21,964.80/x
  3. Step 3: Cross multiply
    38,959.92x = 53,766.27 × 21,964.80
  4. Step 4: Simplify right side
    38,959.92x = 1,180,965,257.47
  5. Step 5: Solve for x
    x = 1,180,965,257.47/38,959.92
  6. Step 6: Final answer
    x = 30,312.32

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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.