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Finding the Fourth Proportional to 38,793.75, 58,194 and 10,713.84

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Solution

The fourth proportional to 38,793.75, 58,194 and 10,713.84 is: 16,071.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,793.75 : 58,194 = 10,713.84 : x
  2. Step 2: Convert to fraction form
    38,793.75/58,194 = 10,713.84/x
  3. Step 3: Cross multiply
    38,793.75x = 58,194 × 10,713.84
  4. Step 4: Simplify right side
    38,793.75x = 623,481,204.96
  5. Step 5: Solve for x
    x = 623,481,204.96/38,793.75
  6. Step 6: Final answer
    x = 16,071.69

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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.