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Finding the Fourth Proportional to 49,462.41, 74,202.73 and 16,184.34

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Solution

The fourth proportional to 49,462.41, 74,202.73 and 16,184.34 is: 24,279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,462.41 : 74,202.73 = 16,184.34 : x
  2. Step 2: Convert to fraction form
    49,462.41/74,202.73 = 16,184.34/x
  3. Step 3: Cross multiply
    49,462.41x = 74,202.73 × 16,184.34
  4. Step 4: Simplify right side
    49,462.41x = 1,200,922,170.79
  5. Step 5: Solve for x
    x = 1,200,922,170.79/49,462.41
  6. Step 6: Final answer
    x = 24,279.49

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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.