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Finding the Fourth Proportional to 38,056, 57,067.92 and 11,405.77

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Solution

The fourth proportional to 38,056, 57,067.92 and 11,405.77 is: 17,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,056 : 57,067.92 = 11,405.77 : x
  2. Step 2: Convert to fraction form
    38,056/57,067.92 = 11,405.77/x
  3. Step 3: Cross multiply
    38,056x = 57,067.92 × 11,405.77
  4. Step 4: Simplify right side
    38,056x = 650,903,569.90
  5. Step 5: Solve for x
    x = 650,903,569.90/38,056
  6. Step 6: Final answer
    x = 17,103.84

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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.