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Finding the Fourth Proportional to 38,959.30, 53,765.40 and 21,964.17

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Solution

The fourth proportional to 38,959.30, 53,765.40 and 21,964.17 is: 30,311.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,959.30 : 53,765.40 = 21,964.17 : x
  2. Step 2: Convert to fraction form
    38,959.30/53,765.40 = 21,964.17/x
  3. Step 3: Cross multiply
    38,959.30x = 53,765.40 × 21,964.17
  4. Step 4: Simplify right side
    38,959.30x = 1,180,912,385.72
  5. Step 5: Solve for x
    x = 1,180,912,385.72/38,959.30
  6. Step 6: Final answer
    x = 30,311.44

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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.