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Finding the Fourth Proportional to 47,512.76, 71,305.88 and 23,843.94

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Solution

The fourth proportional to 47,512.76, 71,305.88 and 23,843.94 is: 35,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,512.76 : 71,305.88 = 23,843.94 : x
  2. Step 2: Convert to fraction form
    47,512.76/71,305.88 = 23,843.94/x
  3. Step 3: Cross multiply
    47,512.76x = 71,305.88 × 23,843.94
  4. Step 4: Simplify right side
    47,512.76x = 1,700,213,124.37
  5. Step 5: Solve for x
    x = 1,700,213,124.37/47,512.76
  6. Step 6: Final answer
    x = 35,784.35

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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.