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Finding the Fourth Proportional to 38,696.88, 53,406.18 and 21,705.78

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Solution

The fourth proportional to 38,696.88, 53,406.18 and 21,705.78 is: 29,956.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,696.88 : 53,406.18 = 21,705.78 : x
  2. Step 2: Convert to fraction form
    38,696.88/53,406.18 = 21,705.78/x
  3. Step 3: Cross multiply
    38,696.88x = 53,406.18 × 21,705.78
  4. Step 4: Simplify right side
    38,696.88x = 1,159,222,793.72
  5. Step 5: Solve for x
    x = 1,159,222,793.72/38,696.88
  6. Step 6: Final answer
    x = 29,956.49

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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.