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Finding the Fourth Proportional to 50,297.69, 75,446.25 and 12,857.72

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Solution

The fourth proportional to 50,297.69, 75,446.25 and 12,857.72 is: 19,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,297.69 : 75,446.25 = 12,857.72 : x
  2. Step 2: Convert to fraction form
    50,297.69/75,446.25 = 12,857.72/x
  3. Step 3: Cross multiply
    50,297.69x = 75,446.25 × 12,857.72
  4. Step 4: Simplify right side
    50,297.69x = 970,066,332.10
  5. Step 5: Solve for x
    x = 970,066,332.10/50,297.69
  6. Step 6: Final answer
    x = 19,286.50

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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.