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Finding the Fourth Proportional to 35,854.44, 53,780.42 and 13,667

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Solution

The fourth proportional to 35,854.44, 53,780.42 and 13,667 is: 20,500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,854.44 : 53,780.42 = 13,667 : x
  2. Step 2: Convert to fraction form
    35,854.44/53,780.42 = 13,667/x
  3. Step 3: Cross multiply
    35,854.44x = 53,780.42 × 13,667
  4. Step 4: Simplify right side
    35,854.44x = 735,017,000.14
  5. Step 5: Solve for x
    x = 735,017,000.14/35,854.44
  6. Step 6: Final answer
    x = 20,500.03

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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.