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Finding the Fourth Proportional to 117,858.64, 176,760.96 and 33,617.20

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Solution

The fourth proportional to 117,858.64, 176,760.96 and 33,617.20 is: 50,418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,858.64 : 176,760.96 = 33,617.20 : x
  2. Step 2: Convert to fraction form
    117,858.64/176,760.96 = 33,617.20/x
  3. Step 3: Cross multiply
    117,858.64x = 176,760.96 × 33,617.20
  4. Step 4: Simplify right side
    117,858.64x = 5,942,208,544.51
  5. Step 5: Solve for x
    x = 5,942,208,544.51/117,858.64
  6. Step 6: Final answer
    x = 50,418.10

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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.