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Finding the Fourth Proportional to 38,470.50, 57,710.34 and 11,812.97

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Solution

The fourth proportional to 38,470.50, 57,710.34 and 11,812.97 is: 17,720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,470.50 : 57,710.34 = 11,812.97 : x
  2. Step 2: Convert to fraction form
    38,470.50/57,710.34 = 11,812.97/x
  3. Step 3: Cross multiply
    38,470.50x = 57,710.34 × 11,812.97
  4. Step 4: Simplify right side
    38,470.50x = 681,730,659.39
  5. Step 5: Solve for x
    x = 681,730,659.39/38,470.50
  6. Step 6: Final answer
    x = 17,720.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.