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Finding the Fourth Proportional to 54,189.69, 74,796.80 and 31,533.09

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Solution

The fourth proportional to 54,189.69, 74,796.80 and 31,533.09 is: 43,524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,189.69 : 74,796.80 = 31,533.09 : x
  2. Step 2: Convert to fraction form
    54,189.69/74,796.80 = 31,533.09/x
  3. Step 3: Cross multiply
    54,189.69x = 74,796.80 × 31,533.09
  4. Step 4: Simplify right side
    54,189.69x = 2,358,574,226.11
  5. Step 5: Solve for x
    x = 2,358,574,226.11/54,189.69
  6. Step 6: Final answer
    x = 43,524.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.