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Finding the Fourth Proportional to 76,930.77, 106,080.77 and 50,023.38

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Solution

The fourth proportional to 76,930.77, 106,080.77 and 50,023.38 is: 68,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,930.77 : 106,080.77 = 50,023.38 : x
  2. Step 2: Convert to fraction form
    76,930.77/106,080.77 = 50,023.38/x
  3. Step 3: Cross multiply
    76,930.77x = 106,080.77 × 50,023.38
  4. Step 4: Simplify right side
    76,930.77x = 5,306,518,668.40
  5. Step 5: Solve for x
    x = 5,306,518,668.40/76,930.77
  6. Step 6: Final answer
    x = 68,977.84

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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.