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Finding the Fourth Proportional to 49,661.63, 74,484.47 and 13,629.67

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Solution

The fourth proportional to 49,661.63, 74,484.47 and 13,629.67 is: 20,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,661.63 : 74,484.47 = 13,629.67 : x
  2. Step 2: Convert to fraction form
    49,661.63/74,484.47 = 13,629.67/x
  3. Step 3: Cross multiply
    49,661.63x = 74,484.47 × 13,629.67
  4. Step 4: Simplify right side
    49,661.63x = 1,015,198,594.09
  5. Step 5: Solve for x
    x = 1,015,198,594.09/49,661.63
  6. Step 6: Final answer
    x = 20,442.31

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Why These Related Problems?

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