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Finding the Fourth Proportional to 30,434.79, 41,992.34 and 17,857.11

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Solution

The fourth proportional to 30,434.79, 41,992.34 and 17,857.11 is: 24,638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434.79 : 41,992.34 = 17,857.11 : x
  2. Step 2: Convert to fraction form
    30,434.79/41,992.34 = 17,857.11/x
  3. Step 3: Cross multiply
    30,434.79x = 41,992.34 × 17,857.11
  4. Step 4: Simplify right side
    30,434.79x = 749,861,745.25
  5. Step 5: Solve for x
    x = 749,861,745.25/30,434.79
  6. Step 6: Final answer
    x = 24,638.31

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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.