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Finding the Fourth Proportional to 38,107.90, 52,584.15 and 21,109.78

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Solution

The fourth proportional to 38,107.90, 52,584.15 and 21,109.78 is: 29,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,107.90 : 52,584.15 = 21,109.78 : x
  2. Step 2: Convert to fraction form
    38,107.90/52,584.15 = 21,109.78/x
  3. Step 3: Cross multiply
    38,107.90x = 52,584.15 × 21,109.78
  4. Step 4: Simplify right side
    38,107.90x = 1,110,039,837.99
  5. Step 5: Solve for x
    x = 1,110,039,837.99/38,107.90
  6. Step 6: Final answer
    x = 29,128.86

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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.