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Finding the Fourth Proportional to 38,512.92, 53,145.93 and 21,513.78

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Solution

The fourth proportional to 38,512.92, 53,145.93 and 21,513.78 is: 29,687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,512.92 : 53,145.93 = 21,513.78 : x
  2. Step 2: Convert to fraction form
    38,512.92/53,145.93 = 21,513.78/x
  3. Step 3: Cross multiply
    38,512.92x = 53,145.93 × 21,513.78
  4. Step 4: Simplify right side
    38,512.92x = 1,143,369,845.92
  5. Step 5: Solve for x
    x = 1,143,369,845.92/38,512.92
  6. Step 6: Final answer
    x = 29,687.96

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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.