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Finding the Fourth Proportional to 47,693.97, 71,541.45 and 14,414.31

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Solution

The fourth proportional to 47,693.97, 71,541.45 and 14,414.31 is: 21,621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,693.97 : 71,541.45 = 14,414.31 : x
  2. Step 2: Convert to fraction form
    47,693.97/71,541.45 = 14,414.31/x
  3. Step 3: Cross multiply
    47,693.97x = 71,541.45 × 14,414.31
  4. Step 4: Simplify right side
    47,693.97x = 1,031,220,638.15
  5. Step 5: Solve for x
    x = 1,031,220,638.15/47,693.97
  6. Step 6: Final answer
    x = 21,621.61

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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.