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Finding the Fourth Proportional to 50,175, 69,241.68 and 27,819

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Solution

The fourth proportional to 50,175, 69,241.68 and 27,819 is: 38,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,175 : 69,241.68 = 27,819 : x
  2. Step 2: Convert to fraction form
    50,175/69,241.68 = 27,819/x
  3. Step 3: Cross multiply
    50,175x = 69,241.68 × 27,819
  4. Step 4: Simplify right side
    50,175x = 1,926,234,295.92
  5. Step 5: Solve for x
    x = 1,926,234,295.92/50,175
  6. Step 6: Final answer
    x = 38,390.32

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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.