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Finding the Fourth Proportional to 35,411.29, 53,149.79 and 17,893.42

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Solution

The fourth proportional to 35,411.29, 53,149.79 and 17,893.42 is: 26,856.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,411.29 : 53,149.79 = 17,893.42 : x
  2. Step 2: Convert to fraction form
    35,411.29/53,149.79 = 17,893.42/x
  3. Step 3: Cross multiply
    35,411.29x = 53,149.79 × 17,893.42
  4. Step 4: Simplify right side
    35,411.29x = 951,031,515.38
  5. Step 5: Solve for x
    x = 951,031,515.38/35,411.29
  6. Step 6: Final answer
    x = 26,856.73

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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.