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Finding the Fourth Proportional to 38,960.30, 53,766.78 and 21,965.17

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Solution

The fourth proportional to 38,960.30, 53,766.78 and 21,965.17 is: 30,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,960.30 : 53,766.78 = 21,965.17 : x
  2. Step 2: Convert to fraction form
    38,960.30/53,766.78 = 21,965.17/x
  3. Step 3: Cross multiply
    38,960.30x = 53,766.78 × 21,965.17
  4. Step 4: Simplify right side
    38,960.30x = 1,180,996,463.05
  5. Step 5: Solve for x
    x = 1,180,996,463.05/38,960.30
  6. Step 6: Final answer
    x = 30,312.82

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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.