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Finding the Fourth Proportional to 47,572.44, 71,358.66 and 19,851

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Solution

The fourth proportional to 47,572.44, 71,358.66 and 19,851 is: 29,776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,572.44 : 71,358.66 = 19,851 : x
  2. Step 2: Convert to fraction form
    47,572.44/71,358.66 = 19,851/x
  3. Step 3: Cross multiply
    47,572.44x = 71,358.66 × 19,851
  4. Step 4: Simplify right side
    47,572.44x = 1,416,540,759.66
  5. Step 5: Solve for x
    x = 1,416,540,759.66/47,572.44
  6. Step 6: Final answer
    x = 29,776.50

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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.