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Finding the Fourth Proportional to 50,055, 69,078.06 and 27,699

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Solution

The fourth proportional to 50,055, 69,078.06 and 27,699 is: 38,225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,055 : 69,078.06 = 27,699 : x
  2. Step 2: Convert to fraction form
    50,055/69,078.06 = 27,699/x
  3. Step 3: Cross multiply
    50,055x = 69,078.06 × 27,699
  4. Step 4: Simplify right side
    50,055x = 1,913,393,183.94
  5. Step 5: Solve for x
    x = 1,913,393,183.94/50,055
  6. Step 6: Final answer
    x = 38,225.82

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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.