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Finding the Fourth Proportional to 49,464.54, 74,142.54 and 23,147.64

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Solution

The fourth proportional to 49,464.54, 74,142.54 and 23,147.64 is: 34,696.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,464.54 : 74,142.54 = 23,147.64 : x
  2. Step 2: Convert to fraction form
    49,464.54/74,142.54 = 23,147.64/x
  3. Step 3: Cross multiply
    49,464.54x = 74,142.54 × 23,147.64
  4. Step 4: Simplify right side
    49,464.54x = 1,716,224,824.61
  5. Step 5: Solve for x
    x = 1,716,224,824.61/49,464.54
  6. Step 6: Final answer
    x = 34,696.06

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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.