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Finding the Fourth Proportional to 38,288.54, 57,288.54 and 34,403.78

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Solution

The fourth proportional to 38,288.54, 57,288.54 and 34,403.78 is: 51,476.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,288.54 : 57,288.54 = 34,403.78 : x
  2. Step 2: Convert to fraction form
    38,288.54/57,288.54 = 34,403.78/x
  3. Step 3: Cross multiply
    38,288.54x = 57,288.54 × 34,403.78
  4. Step 4: Simplify right side
    38,288.54x = 1,970,942,326.68
  5. Step 5: Solve for x
    x = 1,970,942,326.68/38,288.54
  6. Step 6: Final answer
    x = 51,476.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.