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Finding the Fourth Proportional to 47,772.76, 71,659.12 and 16,608

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Solution

The fourth proportional to 47,772.76, 71,659.12 and 16,608 is: 24,911.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,772.76 : 71,659.12 = 16,608 : x
  2. Step 2: Convert to fraction form
    47,772.76/71,659.12 = 16,608/x
  3. Step 3: Cross multiply
    47,772.76x = 71,659.12 × 16,608
  4. Step 4: Simplify right side
    47,772.76x = 1,190,114,664.96
  5. Step 5: Solve for x
    x = 1,190,114,664.96/47,772.76
  6. Step 6: Final answer
    x = 24,911.99

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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.