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Finding the Fourth Proportional to 38,414.96, 53,015.82 and 21,416.90

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Solution

The fourth proportional to 38,414.96, 53,015.82 and 21,416.90 is: 29,557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,414.96 : 53,015.82 = 21,416.90 : x
  2. Step 2: Convert to fraction form
    38,414.96/53,015.82 = 21,416.90/x
  3. Step 3: Cross multiply
    38,414.96x = 53,015.82 × 21,416.90
  4. Step 4: Simplify right side
    38,414.96x = 1,135,434,515.36
  5. Step 5: Solve for x
    x = 1,135,434,515.36/38,414.96
  6. Step 6: Final answer
    x = 29,557.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.