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Finding the Fourth Proportional to 50,465.51, 69,639.62 and 27,800.05

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Solution

The fourth proportional to 50,465.51, 69,639.62 and 27,800.05 is: 38,362.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,465.51 : 69,639.62 = 27,800.05 : x
  2. Step 2: Convert to fraction form
    50,465.51/69,639.62 = 27,800.05/x
  3. Step 3: Cross multiply
    50,465.51x = 69,639.62 × 27,800.05
  4. Step 4: Simplify right side
    50,465.51x = 1,935,984,604.88
  5. Step 5: Solve for x
    x = 1,935,984,604.88/50,465.51
  6. Step 6: Final answer
    x = 38,362.53

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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.