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Finding the Fourth Proportional to 38,793.50, 58,193.62 and 10,713.60

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Solution

The fourth proportional to 38,793.50, 58,193.62 and 10,713.60 is: 16,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,793.50 : 58,193.62 = 10,713.60 : x
  2. Step 2: Convert to fraction form
    38,793.50/58,193.62 = 10,713.60/x
  3. Step 3: Cross multiply
    38,793.50x = 58,193.62 × 10,713.60
  4. Step 4: Simplify right side
    38,793.50x = 623,463,167.23
  5. Step 5: Solve for x
    x = 623,463,167.23/38,793.50
  6. Step 6: Final answer
    x = 16,071.33

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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.