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Finding the Fourth Proportional to 47,476.96, 71,191.87 and 15,876.20

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Solution

The fourth proportional to 47,476.96, 71,191.87 and 15,876.20 is: 23,806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,476.96 : 71,191.87 = 15,876.20 : x
  2. Step 2: Convert to fraction form
    47,476.96/71,191.87 = 15,876.20/x
  3. Step 3: Cross multiply
    47,476.96x = 71,191.87 × 15,876.20
  4. Step 4: Simplify right side
    47,476.96x = 1,130,256,504.78
  5. Step 5: Solve for x
    x = 1,130,256,504.78/47,476.96
  6. Step 6: Final answer
    x = 23,806.42

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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.