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Finding the Fourth Proportional to 50,714.70, 76,049.85 and 24,068.31

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Solution

The fourth proportional to 50,714.70, 76,049.85 and 24,068.31 is: 36,091.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,714.70 : 76,049.85 = 24,068.31 : x
  2. Step 2: Convert to fraction form
    50,714.70/76,049.85 = 24,068.31/x
  3. Step 3: Cross multiply
    50,714.70x = 76,049.85 × 24,068.31
  4. Step 4: Simplify right side
    50,714.70x = 1,830,391,365.25
  5. Step 5: Solve for x
    x = 1,830,391,365.25/50,714.70
  6. Step 6: Final answer
    x = 36,091.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.