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Finding the Fourth Proportional to 51,791.84, 77,520.64 and 26,797.48

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Solution

The fourth proportional to 51,791.84, 77,520.64 and 26,797.48 is: 40,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,791.84 : 77,520.64 = 26,797.48 : x
  2. Step 2: Convert to fraction form
    51,791.84/77,520.64 = 26,797.48/x
  3. Step 3: Cross multiply
    51,791.84x = 77,520.64 × 26,797.48
  4. Step 4: Simplify right side
    51,791.84x = 2,077,357,799.99
  5. Step 5: Solve for x
    x = 2,077,357,799.99/51,791.84
  6. Step 6: Final answer
    x = 40,109.75

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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.