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Finding the Fourth Proportional to 49,435.62, 74,152.81 and 11,996

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Solution

The fourth proportional to 49,435.62, 74,152.81 and 11,996 is: 17,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,435.62 : 74,152.81 = 11,996 : x
  2. Step 2: Convert to fraction form
    49,435.62/74,152.81 = 11,996/x
  3. Step 3: Cross multiply
    49,435.62x = 74,152.81 × 11,996
  4. Step 4: Simplify right side
    49,435.62x = 889,537,048.78
  5. Step 5: Solve for x
    x = 889,537,048.78/49,435.62
  6. Step 6: Final answer
    x = 17,993.85

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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.