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Finding the Fourth Proportional to 35,766, 53,651.96 and 11,142

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Solution

The fourth proportional to 35,766, 53,651.96 and 11,142 is: 16,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,766 : 53,651.96 = 11,142 : x
  2. Step 2: Convert to fraction form
    35,766/53,651.96 = 11,142/x
  3. Step 3: Cross multiply
    35,766x = 53,651.96 × 11,142
  4. Step 4: Simplify right side
    35,766x = 597,790,138.32
  5. Step 5: Solve for x
    x = 597,790,138.32/35,766
  6. Step 6: Final answer
    x = 16,713.92

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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.