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Finding the Fourth Proportional to 48,833.23, 67,394.88 and 29,714.38

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Solution

The fourth proportional to 48,833.23, 67,394.88 and 29,714.38 is: 41,008.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,833.23 : 67,394.88 = 29,714.38 : x
  2. Step 2: Convert to fraction form
    48,833.23/67,394.88 = 29,714.38/x
  3. Step 3: Cross multiply
    48,833.23x = 67,394.88 × 29,714.38
  4. Step 4: Simplify right side
    48,833.23x = 2,002,597,074.37
  5. Step 5: Solve for x
    x = 2,002,597,074.37/48,833.23
  6. Step 6: Final answer
    x = 41,008.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.