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Finding the Fourth Proportional to 38,114.70, 57,178.11 and 11,814

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Solution

The fourth proportional to 38,114.70, 57,178.11 and 11,814 is: 17,722.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,114.70 : 57,178.11 = 11,814 : x
  2. Step 2: Convert to fraction form
    38,114.70/57,178.11 = 11,814/x
  3. Step 3: Cross multiply
    38,114.70x = 57,178.11 × 11,814
  4. Step 4: Simplify right side
    38,114.70x = 675,502,191.54
  5. Step 5: Solve for x
    x = 675,502,191.54/38,114.70
  6. Step 6: Final answer
    x = 17,722.88

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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.