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Finding the Fourth Proportional to 50,530.62, 69,728.36 and 27,870.46

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Solution

The fourth proportional to 50,530.62, 69,728.36 and 27,870.46 is: 38,459.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,530.62 : 69,728.36 = 27,870.46 : x
  2. Step 2: Convert to fraction form
    50,530.62/69,728.36 = 27,870.46/x
  3. Step 3: Cross multiply
    50,530.62x = 69,728.36 × 27,870.46
  4. Step 4: Simplify right side
    50,530.62x = 1,943,361,468.25
  5. Step 5: Solve for x
    x = 1,943,361,468.25/50,530.62
  6. Step 6: Final answer
    x = 38,459.09

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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.