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Finding the Fourth Proportional to 50,676.41, 69,942.14 and 29,468

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Solution

The fourth proportional to 50,676.41, 69,942.14 and 29,468 is: 40,670.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,676.41 : 69,942.14 = 29,468 : x
  2. Step 2: Convert to fraction form
    50,676.41/69,942.14 = 29,468/x
  3. Step 3: Cross multiply
    50,676.41x = 69,942.14 × 29,468
  4. Step 4: Simplify right side
    50,676.41x = 2,061,054,981.52
  5. Step 5: Solve for x
    x = 2,061,054,981.52/50,676.41
  6. Step 6: Final answer
    x = 40,670.90

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