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Finding the Fourth Proportional to 54,235.38, 74,844.82 and 33,014.64

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Solution

The fourth proportional to 54,235.38, 74,844.82 and 33,014.64 is: 45,560.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,235.38 : 74,844.82 = 33,014.64 : x
  2. Step 2: Convert to fraction form
    54,235.38/74,844.82 = 33,014.64/x
  3. Step 3: Cross multiply
    54,235.38x = 74,844.82 × 33,014.64
  4. Step 4: Simplify right side
    54,235.38x = 2,470,974,705.63
  5. Step 5: Solve for x
    x = 2,470,974,705.63/54,235.38
  6. Step 6: Final answer
    x = 45,560.20

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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.