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Finding the Fourth Proportional to 35,638.12, 53,421.90 and 16,885

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Solution

The fourth proportional to 35,638.12, 53,421.90 and 16,885 is: 25,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,638.12 : 53,421.90 = 16,885 : x
  2. Step 2: Convert to fraction form
    35,638.12/53,421.90 = 16,885/x
  3. Step 3: Cross multiply
    35,638.12x = 53,421.90 × 16,885
  4. Step 4: Simplify right side
    35,638.12x = 902,028,781.50
  5. Step 5: Solve for x
    x = 902,028,781.50/35,638.12
  6. Step 6: Final answer
    x = 25,310.78

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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.