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Finding the Fourth Proportional to 35,853.43, 53,778.93 and 13,666

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Solution

The fourth proportional to 35,853.43, 53,778.93 and 13,666 is: 20,498.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,853.43 : 53,778.93 = 13,666 : x
  2. Step 2: Convert to fraction form
    35,853.43/53,778.93 = 13,666/x
  3. Step 3: Cross multiply
    35,853.43x = 53,778.93 × 13,666
  4. Step 4: Simplify right side
    35,853.43x = 734,942,857.38
  5. Step 5: Solve for x
    x = 734,942,857.38/35,853.43
  6. Step 6: Final answer
    x = 20,498.54

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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.