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Finding the Fourth Proportional to 50,106, 69,148.44 and 27,750

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Solution

The fourth proportional to 50,106, 69,148.44 and 27,750 is: 38,296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,106 : 69,148.44 = 27,750 : x
  2. Step 2: Convert to fraction form
    50,106/69,148.44 = 27,750/x
  3. Step 3: Cross multiply
    50,106x = 69,148.44 × 27,750
  4. Step 4: Simplify right side
    50,106x = 1,918,869,210
  5. Step 5: Solve for x
    x = 1,918,869,210/50,106
  6. Step 6: Final answer
    x = 38,296.20

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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.