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Finding the Fourth Proportional to 50,275.53, 75,405 and 16,994.82

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Solution

The fourth proportional to 50,275.53, 75,405 and 16,994.82 is: 25,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,275.53 : 75,405 = 16,994.82 : x
  2. Step 2: Convert to fraction form
    50,275.53/75,405 = 16,994.82/x
  3. Step 3: Cross multiply
    50,275.53x = 75,405 × 16,994.82
  4. Step 4: Simplify right side
    50,275.53x = 1,281,494,402.10
  5. Step 5: Solve for x
    x = 1,281,494,402.10/50,275.53
  6. Step 6: Final answer
    x = 25,489.43

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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.