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Finding the Fourth Proportional to 38,911.32, 58,311.90 and 30,105

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Solution

The fourth proportional to 38,911.32, 58,311.90 and 30,105 is: 45,114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,911.32 : 58,311.90 = 30,105 : x
  2. Step 2: Convert to fraction form
    38,911.32/58,311.90 = 30,105/x
  3. Step 3: Cross multiply
    38,911.32x = 58,311.90 × 30,105
  4. Step 4: Simplify right side
    38,911.32x = 1,755,479,749.50
  5. Step 5: Solve for x
    x = 1,755,479,749.50/38,911.32
  6. Step 6: Final answer
    x = 45,114.89

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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.