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Finding the Fourth Proportional to 38,863.86, 53,502.42 and 37,078.50

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Solution

The fourth proportional to 38,863.86, 53,502.42 and 37,078.50 is: 51,044.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,863.86 : 53,502.42 = 37,078.50 : x
  2. Step 2: Convert to fraction form
    38,863.86/53,502.42 = 37,078.50/x
  3. Step 3: Cross multiply
    38,863.86x = 53,502.42 × 37,078.50
  4. Step 4: Simplify right side
    38,863.86x = 1,983,789,479.97
  5. Step 5: Solve for x
    x = 1,983,789,479.97/38,863.86
  6. Step 6: Final answer
    x = 51,044.58

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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.