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Finding the Fourth Proportional to 38,571.40, 57,861.35 and 12,270

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Solution

The fourth proportional to 38,571.40, 57,861.35 and 12,270 is: 18,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,571.40 : 57,861.35 = 12,270 : x
  2. Step 2: Convert to fraction form
    38,571.40/57,861.35 = 12,270/x
  3. Step 3: Cross multiply
    38,571.40x = 57,861.35 × 12,270
  4. Step 4: Simplify right side
    38,571.40x = 709,958,764.50
  5. Step 5: Solve for x
    x = 709,958,764.50/38,571.40
  6. Step 6: Final answer
    x = 18,406.35

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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.