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Finding the Fourth Proportional to 38,097.90, 57,092.37 and 21,422.93

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Solution

The fourth proportional to 38,097.90, 57,092.37 and 21,422.93 is: 32,103.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,097.90 : 57,092.37 = 21,422.93 : x
  2. Step 2: Convert to fraction form
    38,097.90/57,092.37 = 21,422.93/x
  3. Step 3: Cross multiply
    38,097.90x = 57,092.37 × 21,422.93
  4. Step 4: Simplify right side
    38,097.90x = 1,223,085,560.58
  5. Step 5: Solve for x
    x = 1,223,085,560.58/38,097.90
  6. Step 6: Final answer
    x = 32,103.75

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