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Finding the Fourth Proportional to 49,634.32, 74,458.86 and 16,348.24

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Solution

The fourth proportional to 49,634.32, 74,458.86 and 16,348.24 is: 24,524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,634.32 : 74,458.86 = 16,348.24 : x
  2. Step 2: Convert to fraction form
    49,634.32/74,458.86 = 16,348.24/x
  3. Step 3: Cross multiply
    49,634.32x = 74,458.86 × 16,348.24
  4. Step 4: Simplify right side
    49,634.32x = 1,217,271,313.41
  5. Step 5: Solve for x
    x = 1,217,271,313.41/49,634.32
  6. Step 6: Final answer
    x = 24,524.79

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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.