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Finding the Fourth Proportional to 50,174.40, 75,260.84 and 12,224

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Solution

The fourth proportional to 50,174.40, 75,260.84 and 12,224 is: 18,335.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,174.40 : 75,260.84 = 12,224 : x
  2. Step 2: Convert to fraction form
    50,174.40/75,260.84 = 12,224/x
  3. Step 3: Cross multiply
    50,174.40x = 75,260.84 × 12,224
  4. Step 4: Simplify right side
    50,174.40x = 919,988,508.16
  5. Step 5: Solve for x
    x = 919,988,508.16/50,174.40
  6. Step 6: Final answer
    x = 18,335.81

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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.