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Finding the Fourth Proportional to 38,059.34, 57,094.46 and 11,766.12

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Solution

The fourth proportional to 38,059.34, 57,094.46 and 11,766.12 is: 17,650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,059.34 : 57,094.46 = 11,766.12 : x
  2. Step 2: Convert to fraction form
    38,059.34/57,094.46 = 11,766.12/x
  3. Step 3: Cross multiply
    38,059.34x = 57,094.46 × 11,766.12
  4. Step 4: Simplify right side
    38,059.34x = 671,780,267.70
  5. Step 5: Solve for x
    x = 671,780,267.70/38,059.34
  6. Step 6: Final answer
    x = 17,650.86

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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.