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Finding the Fourth Proportional to 117,399.54, 176,096.14 and 33,165.51

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Solution

The fourth proportional to 117,399.54, 176,096.14 and 33,165.51 is: 49,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,399.54 : 176,096.14 = 33,165.51 : x
  2. Step 2: Convert to fraction form
    117,399.54/176,096.14 = 33,165.51/x
  3. Step 3: Cross multiply
    117,399.54x = 176,096.14 × 33,165.51
  4. Step 4: Simplify right side
    117,399.54x = 5,840,318,292.13
  5. Step 5: Solve for x
    x = 5,840,318,292.13/117,399.54
  6. Step 6: Final answer
    x = 49,747.37

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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.