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Finding the Fourth Proportional to 51,638.49, 77,028.60 and 50,782.09

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Solution

The fourth proportional to 51,638.49, 77,028.60 and 50,782.09 is: 75,751.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,638.49 : 77,028.60 = 50,782.09 : x
  2. Step 2: Convert to fraction form
    51,638.49/77,028.60 = 50,782.09/x
  3. Step 3: Cross multiply
    51,638.49x = 77,028.60 × 50,782.09
  4. Step 4: Simplify right side
    51,638.49x = 3,911,673,011.59
  5. Step 5: Solve for x
    x = 3,911,673,011.59/51,638.49
  6. Step 6: Final answer
    x = 75,751.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.