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Finding the Fourth Proportional to 50,046, 69,065.64 and 27,690

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Solution

The fourth proportional to 50,046, 69,065.64 and 27,690 is: 38,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,046 : 69,065.64 = 27,690 : x
  2. Step 2: Convert to fraction form
    50,046/69,065.64 = 27,690/x
  3. Step 3: Cross multiply
    50,046x = 69,065.64 × 27,690
  4. Step 4: Simplify right side
    50,046x = 1,912,427,571.60
  5. Step 5: Solve for x
    x = 1,912,427,571.60/50,046
  6. Step 6: Final answer
    x = 38,213.40

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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.