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Finding the Fourth Proportional to 117,398.54, 176,094.65 and 33,164.51

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Solution

The fourth proportional to 117,398.54, 176,094.65 and 33,164.51 is: 49,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,398.54 : 176,094.65 = 33,164.51 : x
  2. Step 2: Convert to fraction form
    117,398.54/176,094.65 = 33,164.51/x
  3. Step 3: Cross multiply
    117,398.54x = 176,094.65 × 33,164.51
  4. Step 4: Simplify right side
    117,398.54x = 5,840,091,734.58
  5. Step 5: Solve for x
    x = 5,840,091,734.58/117,398.54
  6. Step 6: Final answer
    x = 49,745.87

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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.