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Finding the Fourth Proportional to 50,025, 69,034.50 and 27,669

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Solution

The fourth proportional to 50,025, 69,034.50 and 27,669 is: 38,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,025 : 69,034.50 = 27,669 : x
  2. Step 2: Convert to fraction form
    50,025/69,034.50 = 27,669/x
  3. Step 3: Cross multiply
    50,025x = 69,034.50 × 27,669
  4. Step 4: Simplify right side
    50,025x = 1,910,115,580.50
  5. Step 5: Solve for x
    x = 1,910,115,580.50/50,025
  6. Step 6: Final answer
    x = 38,183.22

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1.5x scale

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.