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Finding the Fourth Proportional to 53,751.44, 74,183.02 and 29,880.38

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Solution

The fourth proportional to 53,751.44, 74,183.02 and 29,880.38 is: 41,238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,751.44 : 74,183.02 = 29,880.38 : x
  2. Step 2: Convert to fraction form
    53,751.44/74,183.02 = 29,880.38/x
  3. Step 3: Cross multiply
    53,751.44x = 74,183.02 × 29,880.38
  4. Step 4: Simplify right side
    53,751.44x = 2,216,616,827.15
  5. Step 5: Solve for x
    x = 2,216,616,827.15/53,751.44
  6. Step 6: Final answer
    x = 41,238.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.