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Finding the Fourth Proportional to 47,917.72, 71,845.32 and 22,957

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Solution

The fourth proportional to 47,917.72, 71,845.32 and 22,957 is: 34,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,917.72 : 71,845.32 = 22,957 : x
  2. Step 2: Convert to fraction form
    47,917.72/71,845.32 = 22,957/x
  3. Step 3: Cross multiply
    47,917.72x = 71,845.32 × 22,957
  4. Step 4: Simplify right side
    47,917.72x = 1,649,353,011.24
  5. Step 5: Solve for x
    x = 1,649,353,011.24/47,917.72
  6. Step 6: Final answer
    x = 34,420.52

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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.