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Finding the Fourth Proportional to 47,714.70, 71,601.30 and 19,648.20

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Solution

The fourth proportional to 47,714.70, 71,601.30 and 19,648.20 is: 29,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,714.70 : 71,601.30 = 19,648.20 : x
  2. Step 2: Convert to fraction form
    47,714.70/71,601.30 = 19,648.20/x
  3. Step 3: Cross multiply
    47,714.70x = 71,601.30 × 19,648.20
  4. Step 4: Simplify right side
    47,714.70x = 1,406,836,662.66
  5. Step 5: Solve for x
    x = 1,406,836,662.66/47,714.70
  6. Step 6: Final answer
    x = 29,484.34

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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.