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Finding the Fourth Proportional to 47,805.10, 71,662.80 and 16,193.10

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Solution

The fourth proportional to 47,805.10, 71,662.80 and 16,193.10 is: 24,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,805.10 : 71,662.80 = 16,193.10 : x
  2. Step 2: Convert to fraction form
    47,805.10/71,662.80 = 16,193.10/x
  3. Step 3: Cross multiply
    47,805.10x = 71,662.80 × 16,193.10
  4. Step 4: Simplify right side
    47,805.10x = 1,160,442,886.68
  5. Step 5: Solve for x
    x = 1,160,442,886.68/47,805.10
  6. Step 6: Final answer
    x = 24,274.46

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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.