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Finding the Fourth Proportional to 33,148.89, 49,632.21 and 29,977.74

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Solution

The fourth proportional to 33,148.89, 49,632.21 and 29,977.74 is: 44,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,148.89 : 49,632.21 = 29,977.74 : x
  2. Step 2: Convert to fraction form
    33,148.89/49,632.21 = 29,977.74/x
  3. Step 3: Cross multiply
    33,148.89x = 49,632.21 × 29,977.74
  4. Step 4: Simplify right side
    33,148.89x = 1,487,861,487.01
  5. Step 5: Solve for x
    x = 1,487,861,487.01/33,148.89
  6. Step 6: Final answer
    x = 44,884.20

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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.