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Finding the Fourth Proportional to 50,275.87, 75,414 and 16,996

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Solution

The fourth proportional to 50,275.87, 75,414 and 16,996 is: 25,494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,275.87 : 75,414 = 16,996 : x
  2. Step 2: Convert to fraction form
    50,275.87/75,414 = 16,996/x
  3. Step 3: Cross multiply
    50,275.87x = 75,414 × 16,996
  4. Step 4: Simplify right side
    50,275.87x = 1,281,736,344
  5. Step 5: Solve for x
    x = 1,281,736,344/50,275.87
  6. Step 6: Final answer
    x = 25,494.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.