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Finding the Fourth Proportional to 51,754.92, 77,577.02 and 26,769.82

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Solution

The fourth proportional to 51,754.92, 77,577.02 and 26,769.82 is: 40,126.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,754.92 : 77,577.02 = 26,769.82 : x
  2. Step 2: Convert to fraction form
    51,754.92/77,577.02 = 26,769.82/x
  3. Step 3: Cross multiply
    51,754.92x = 77,577.02 × 26,769.82
  4. Step 4: Simplify right side
    51,754.92x = 2,076,722,634.13
  5. Step 5: Solve for x
    x = 2,076,722,634.13/51,754.92
  6. Step 6: Final answer
    x = 40,126.09

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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.