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Finding the Fourth Proportional to 41,126.12, 56,751.90 and 24,128

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Solution

The fourth proportional to 41,126.12, 56,751.90 and 24,128 is: 33,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,126.12 : 56,751.90 = 24,128 : x
  2. Step 2: Convert to fraction form
    41,126.12/56,751.90 = 24,128/x
  3. Step 3: Cross multiply
    41,126.12x = 56,751.90 × 24,128
  4. Step 4: Simplify right side
    41,126.12x = 1,369,309,843.20
  5. Step 5: Solve for x
    x = 1,369,309,843.20/41,126.12
  6. Step 6: Final answer
    x = 33,295.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.