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Finding the Fourth Proportional to 38,728.28, 53,447.80 and 21,734.17

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Solution

The fourth proportional to 38,728.28, 53,447.80 and 21,734.17 is: 29,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,728.28 : 53,447.80 = 21,734.17 : x
  2. Step 2: Convert to fraction form
    38,728.28/53,447.80 = 21,734.17/x
  3. Step 3: Cross multiply
    38,728.28x = 53,447.80 × 21,734.17
  4. Step 4: Simplify right side
    38,728.28x = 1,161,643,724.77
  5. Step 5: Solve for x
    x = 1,161,643,724.77/38,728.28
  6. Step 6: Final answer
    x = 29,994.72

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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.