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Finding the Fourth Proportional to 47,146.50, 70,720.56 and 15,982.56

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Solution

The fourth proportional to 47,146.50, 70,720.56 and 15,982.56 is: 23,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,146.50 : 70,720.56 = 15,982.56 : x
  2. Step 2: Convert to fraction form
    47,146.50/70,720.56 = 15,982.56/x
  3. Step 3: Cross multiply
    47,146.50x = 70,720.56 × 15,982.56
  4. Step 4: Simplify right side
    47,146.50x = 1,130,295,593.43
  5. Step 5: Solve for x
    x = 1,130,295,593.43/47,146.50
  6. Step 6: Final answer
    x = 23,974.11

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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.