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Finding the Fourth Proportional to 38,512.94, 53,146.88 and 21,517.31

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Solution

The fourth proportional to 38,512.94, 53,146.88 and 21,517.31 is: 29,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,512.94 : 53,146.88 = 21,517.31 : x
  2. Step 2: Convert to fraction form
    38,512.94/53,146.88 = 21,517.31/x
  3. Step 3: Cross multiply
    38,512.94x = 53,146.88 × 21,517.31
  4. Step 4: Simplify right side
    38,512.94x = 1,143,577,892.49
  5. Step 5: Solve for x
    x = 1,143,577,892.49/38,512.94
  6. Step 6: Final answer
    x = 29,693.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.