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Finding the Fourth Proportional to 38,696.82, 53,402.22 and 21,704.84

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Solution

The fourth proportional to 38,696.82, 53,402.22 and 21,704.84 is: 29,953.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,696.82 : 53,402.22 = 21,704.84 : x
  2. Step 2: Convert to fraction form
    38,696.82/53,402.22 = 21,704.84/x
  3. Step 3: Cross multiply
    38,696.82x = 53,402.22 × 21,704.84
  4. Step 4: Simplify right side
    38,696.82x = 1,159,086,640.74
  5. Step 5: Solve for x
    x = 1,159,086,640.74/38,696.82
  6. Step 6: Final answer
    x = 29,953.02

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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.