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Finding the Fourth Proportional to 47,486.93, 71,202.11 and 15,889.30

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Solution

The fourth proportional to 47,486.93, 71,202.11 and 15,889.30 is: 23,824.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,486.93 : 71,202.11 = 15,889.30 : x
  2. Step 2: Convert to fraction form
    47,486.93/71,202.11 = 15,889.30/x
  3. Step 3: Cross multiply
    47,486.93x = 71,202.11 × 15,889.30
  4. Step 4: Simplify right side
    47,486.93x = 1,131,351,428.97
  5. Step 5: Solve for x
    x = 1,131,351,428.97/47,486.93
  6. Step 6: Final answer
    x = 23,824.48

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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.