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Finding the Fourth Proportional to 50,155, 69,213.90 and 27,799

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Solution

The fourth proportional to 50,155, 69,213.90 and 27,799 is: 38,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,155 : 69,213.90 = 27,799 : x
  2. Step 2: Convert to fraction form
    50,155/69,213.90 = 27,799/x
  3. Step 3: Cross multiply
    50,155x = 69,213.90 × 27,799
  4. Step 4: Simplify right side
    50,155x = 1,924,077,206.10
  5. Step 5: Solve for x
    x = 1,924,077,206.10/50,155
  6. Step 6: Final answer
    x = 38,362.62

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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.