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Finding the Fourth Proportional to 35,882.62, 53,805.84 and 10,917.88

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Solution

The fourth proportional to 35,882.62, 53,805.84 and 10,917.88 is: 16,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,882.62 : 53,805.84 = 10,917.88 : x
  2. Step 2: Convert to fraction form
    35,882.62/53,805.84 = 10,917.88/x
  3. Step 3: Cross multiply
    35,882.62x = 53,805.84 × 10,917.88
  4. Step 4: Simplify right side
    35,882.62x = 587,445,528.96
  5. Step 5: Solve for x
    x = 587,445,528.96/35,882.62
  6. Step 6: Final answer
    x = 16,371.31

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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.