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Finding the Fourth Proportional to 77,206.80, 115,615.80 and 50,768.40

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Solution

The fourth proportional to 77,206.80, 115,615.80 and 50,768.40 is: 76,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,206.80 : 115,615.80 = 50,768.40 : x
  2. Step 2: Convert to fraction form
    77,206.80/115,615.80 = 50,768.40/x
  3. Step 3: Cross multiply
    77,206.80x = 115,615.80 × 50,768.40
  4. Step 4: Simplify right side
    77,206.80x = 5,869,629,180.72
  5. Step 5: Solve for x
    x = 5,869,629,180.72/77,206.80
  6. Step 6: Final answer
    x = 76,024.77

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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.