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Finding the Fourth Proportional to 47,651.92, 71,454.78 and 14,365.78

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Solution

The fourth proportional to 47,651.92, 71,454.78 and 14,365.78 is: 21,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,651.92 : 71,454.78 = 14,365.78 : x
  2. Step 2: Convert to fraction form
    47,651.92/71,454.78 = 14,365.78/x
  3. Step 3: Cross multiply
    47,651.92x = 71,454.78 × 14,365.78
  4. Step 4: Simplify right side
    47,651.92x = 1,026,503,649.43
  5. Step 5: Solve for x
    x = 1,026,503,649.43/47,651.92
  6. Step 6: Final answer
    x = 21,541.71

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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.