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Finding the Fourth Proportional to 47,147.50, 70,722.06 and 15,983.56

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Solution

The fourth proportional to 47,147.50, 70,722.06 and 15,983.56 is: 23,975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,147.50 : 70,722.06 = 15,983.56 : x
  2. Step 2: Convert to fraction form
    47,147.50/70,722.06 = 15,983.56/x
  3. Step 3: Cross multiply
    47,147.50x = 70,722.06 × 15,983.56
  4. Step 4: Simplify right side
    47,147.50x = 1,130,390,289.33
  5. Step 5: Solve for x
    x = 1,130,390,289.33/47,147.50
  6. Step 6: Final answer
    x = 23,975.61

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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.