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Finding the Fourth Proportional to 38,602.43, 57,894.92 and 19,607.82

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Solution

The fourth proportional to 38,602.43, 57,894.92 and 19,607.82 is: 29,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,602.43 : 57,894.92 = 19,607.82 : x
  2. Step 2: Convert to fraction form
    38,602.43/57,894.92 = 19,607.82/x
  3. Step 3: Cross multiply
    38,602.43x = 57,894.92 × 19,607.82
  4. Step 4: Simplify right side
    38,602.43x = 1,135,193,170.27
  5. Step 5: Solve for x
    x = 1,135,193,170.27/38,602.43
  6. Step 6: Final answer
    x = 29,407.30

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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.